Let f and g be the functions from the set of integers to the set integers defined by f(x) = 2x + 3 and g(x) = 3x + 2 Then the composition of f and g and g and f is given as (A) 6x + 7, 6x + 11 (B) 6x + 11, 6x + 7 (C) 5x + 5, 5x + 5 (D) None of the above

Let f and g be the functions from the set of integers to the set integers defined by f(x) = 2x + 3 and g(x) = 3x + 2 Then the composition of f and g and g and f is given as (A) 6x + 7, 6x + 11 (B) 6x + 11, 6x + 7 (C) 5x + 5, 5x + 5 (D) None of the above
by

1 Answer

Answer :

(A) 6x + 7, 6x + 11


Explanation:
fog(x)=f(g(x))=f(3x+2)=2(3x+2)+3=6x+7
gof(x)=g(f(x))=g(2x+3)=3(2x+3)+2=6x+11
by

Related questions

Compute the value of adding the following two fuzzy integers: A = {(0.3,1), (0.6,2), (1,3), (0.7,4), (0.2,5)} B = {(0.5,11), (1,12), (0.5,13)} Where fuzzy addition is defined as μA+B(z) = maxx+y=z (min(μA(x), μB(x))) Then, f(A+B) is equal to (A) {(0.5,12), (0.6,13), (1,14), (0.7,15), (0.7,16), (1,17), (1,18)} (B) {(0.5,12), (0.6,13), (1,14), (1,15), (1,16), (1,17), (1,18)} (C) {(0.3,12), (0.5,13), (0.5,14), (1,15), (0.7,16), (0.5,17), (0.2,18)} (D) {(0.3,12), (0.5,13), (0.6,14), (1,15), (0.7,16), (0.5,17), (0.2,18)}

Description : Compute the value of adding the following two fuzzy integers: A = {(0.3,1), (0.6,2), (1,3), (0.7,4), (0.2,5)} B = {(0.5,11), (1,12), (0.5,13)} Where fuzzy addition is defined as μA+B(z) = maxx+y=z (min(μA(x), μB( ... ,18)} (D) {(0.3,12), (0.5,13), (0.6,14), (1,15), (0.7,16), (0.5,17), (0.2,18)}

Last Answer : (D) {(0.3,12), (0.5,13), (0.6,14), (1,15), (0.7,16), (0.5,17), (0.2,18)} 

Let A and B be two fuzzy integers defined as: A={(1,0.3), (2,0.6), (3,1), (4,0.7), (5,0.2)} B={(10,0.5), (11,1), (12,0.5)} Using fuzzy arithmetic operation given by Image (A) {(11,0.8), (13,1), (15,1)} (B) {(11,0.3), (12,0.5), (13,1), (14,1), (15,1), (16,0.5), (17,0.2)} (C) {(11,0.3), (12,0.5), (13,0.6), (14,1), (15,1), (16,0.5), (17,0.2)} (D) {(11,0.3), (12,0.5), (13,0.6), (14,1), (15,0.7), (16,0.5), (17,0.2)}

Description : Let A and B be two fuzzy integers defined as: A={(1,0.3), (2,0.6), (3,1), (4,0.7), (5,0.2)} B={(10,0.5), (11,1), (12,0.5)} Using fuzzy arithmetic operation given by (A) {(11,0.8), (13,1), (15,1)} ( ... ,0.2)} (D) {(11,0.3), (12,0.5), (13,0.6), (14,1), (15,0.7), (16,0.5), (17,0.2)}

Last Answer : (D) {(11,0.3), (12,0.5), (13,0.6), (14,1), (15,0.7), (16,0.5), (17,0.2)}

All solutions of the linear equation 2x + 3y = 7 are also the solutions of equation (a) 5x + 6y = 13 (b) 4x + 6y = 11 (c) 6x + 9y = 7 (d) 6x + 9y = 21

Description : All solutions of the linear equation 2x + 3y = 7 are also the solutions of equation (a) 5x + 6y = 13 (b) 4x + 6y = 11 (c) 6x + 9y = 7 (d) 6x + 9y = 21

Last Answer : (d) 6x + 9y = 21

Let R and S be two fuzzy relations defined as: Image Then, the resulting relation, T, which relates elements of universe x to elements of universe z using max-min composition is given by

Description : Let R and S be two fuzzy relations defined as: Then, the resulting relation, T, which relates elements of universe x to elements of universe z using max-min composition is given by

Last Answer : Answer: C

A pair of linear equations which has a unique solution x = 2, y = -3 is (a) x + y = -1 ; 2x – 3y = -5 (b) 2x + 5y = -11 ; 4x + 10y = -22(c) 2x – y = 1 ; 3x + 2y = 0 (d) x – 4y – 14 = 0 ;5x – y – 13 = 0

Description : A pair of linear equations which has a unique solution x = 2, y = -3 is (a) x + y = -1 ; 2x – 3y = -5 (b) 2x + 5y = -11 ; 4x + 10y = -22(c) 2x – y = 1 ; 3x + 2y = 0 (d) x – 4y – 14 = 0 ;5x – y – 13 = 0

Last Answer : (d) x – 4y – 14 = 0 ;5x – y – 13 = 0

Solve for `x` `(i) |x+1|=4x+3` `(ii) |x+1|=|x+3|` `(iii) 7|x-2|-|x-7|=5` `(iv) ||x-1|-2|=6x+8` `(v) |2x^(2)-3x+1|=|x^(2)+x-3|`

Description : Solve for `x` `(i) |x+1|=4x+3` `(ii) |x+1|=|x+3|` `(iii) 7|x-2|-|x-7|=5` `(iv) ||x-1|-2|=6x+8` `(v) |2x^(2)-3x+1|=|x^(2)+x-3|`

Last Answer : Solve for `x` `(i) |x+1|=4x+3` `(ii) |x+1|=|x+3|` `(iii) 7|x-2|-|x-7|=5` `(iv) ||x-1|-2|=6x+8` `(v) |2x^(2)-3x+1|=|x^(2)+x-3|`

Find the intervals in which the following functions are: (i) increasing (ii) decreasing. (a) `f(x) = 10-6x+x^(2)` (b) `f(x) = 2x^(2)-6x` (c) `f(x) = 2

Description : Find the intervals in which the following functions are: (i) increasing (ii) decreasing. (a) `f(x) = 10-6x+x^(2)` (b) `f(x) = 2x^(2)-6x` (c) `f(x) = 2

Last Answer : Find the intervals in which the following functions are: (i) increasing (ii) decreasing. (a) `f(x) = 10-6x+x^(2)` (b ... ) `f(x) = (x+2)^(3)(x-3)^(3)`

Find the value of k if (x-2)is a factor of polynomial p(x) = 2x(cube) - 6x(square) + 5x + k. -Maths 9th

Description : Find the value of k if (x-2)is a factor of polynomial p(x) = 2x(cube) - 6x(square) + 5x + k. -Maths 9th

Last Answer : Solution :-

Solve the following in equalities `(i) |x+7| gt 5` `(ii) |x+3| lt 10` `(iii) (x+2) lt |x^(2)+3x+5|``(iv) |(2x-1)/(x-1)| gt 2` `(v) |x-6| le x^(2)-5x+9

Description : Solve the following in equalities `(i) |x+7| gt 5` `(ii) |x+3| lt 10` `(iii) (x+2) lt |x^(2)+3x+5|``(iv) |(2x-1)/(x-1)| gt 2` `(v) |x-6| le x^(2)-5x+9

Last Answer : Solve the following in equalities `(i) |x+7| gt 5` `(ii) |x+3| lt 10` `(iii) (x+2) lt |x^(2)+3x+5|``(iv) ... -5) lt 0` `(viii) |x-1|+|x-2|+|x-3| le 6`

If the expressions (px^3 + 3x^2 – 3) and (2x^3 – 5x + p) when divided by (x – 4) leave the same remainder, then what is the value of p ? -Maths 9th

Description : If the expressions (px^3 + 3x^2 – 3) and (2x^3 – 5x + p) when divided by (x – 4) leave the same remainder, then what is the value of p ? -Maths 9th

Last Answer : Given that the following polynomials leave the same remainder when divided by (x - 4) : We are to find the value of a. Remainder theorem: When (x - b) divides a polynomial p(x), then the remainder is p(b). So, from (i) and (ii), we get Thus, the required value of a is 1.

Without actual division show that 2x^4 – 6x^3 + 3x^2 + 3x – 2 is exactly divisible by x^2 – 3x + 2 -Maths 9th

Description : Without actual division show that 2x^4 – 6x^3 + 3x^2 + 3x – 2 is exactly divisible by x^2 – 3x + 2 -Maths 9th

Last Answer : answer:

Let f(n) and g(n) be asymptotically non-negative functions. Which of the following is correct? (A) θ(f(n) * g(n)) = min(f(n), g(n)) (B) θ(f(n) * g(n)) = max(f(n), g(n)) (C) θ(f(n) + g(n)) = min(f(n), g(n)) (D) θ(f(n) + g(n)) = max(f(n), g(n))

Description : Let f(n) and g(n) be asymptotically non-negative functions. Which of the following is correct? (A) θ(f(n) * g(n)) = min(f(n), g(n)) (B) θ(f(n) * g(n)) = max(f(n), g(n)) (C) θ(f(n) + g(n)) = min(f(n), g(n)) (D) θ(f(n) + g(n)) = max(f(n), g(n))

Last Answer : (D) θ(f(n) + g(n)) = max(f(n), g(n))

Let `f : [-1, -1/2] rarr [-1, 1]` is defined by `f(x)=4x^(3)-3x`, then `f^(-1) (x)` is

Description : Let `f : [-1, -1/2] rarr [-1, 1]` is defined by `f(x)=4x^(3)-3x`, then `f^(-1) (x)` is

Last Answer : Let `f : [-1, -1/2] rarr [-1, 1]` is defined by `f(x)=4x^(3)-3x`, then `f^(-1) (x)` is A. `cos (1/3 ... /3+1/3 cos^(-1) x)` D. `sin (1/3 sin^(-1) x)`

Let P(m,n) be the statement “m divides n” where the Universe of discourse for both the variables is the set of positive integers. Determine the truth values of the following propositions. (a) ∃m ∀n P(m,n) (b) ∀n P(1,n) (c) ∀m ∀n P(m,n) (A) (a)-True; (b)-True; (c)-False (B) (a)-True; (b)-False; (c)-False (C) (a)-False; (b)-False; (c)-False (D) (a)-True; (b)-True; (c)-True

Description : Let P(m,n) be the statement m divides n where the Universe of discourse for both the variables is the set of positive integers. Determine the truth values of the following propositions. (a) ∃m ∀n P(m,n) (b) ∀n P(1,n) ( ... -False (C) (a)-False; (b)-False; (c)-False (D) (a)-True; (b)-True; (c)-True

Last Answer : Answer: A

What must be added to 2x(square) - 5x + 6 to get x(cube) - 3x(square) + 3x - 5? -Maths 9th

Description : What must be added to 2x(square) - 5x + 6 to get x(cube) - 3x(square) + 3x - 5? -Maths 9th

Last Answer : Solution :-

`" if " f(x) ={ underset( 5x" "2 le x le 3) (3x+ 4,0 le x le 2),` then `int_(0)^(3) f(x) dx=?`

Description : `" if " f(x) ={ underset( 5x" "2 le x le 3) (3x+ 4,0 le x le 2),` then `int_(0)^(3) f(x) dx=?`

Last Answer : `" if " f(x) ={ underset( 5x" "2 le x le 3) (3x+ 4,0 le x le 2),` then `int_(0)^(3) f(x) dx=?` A. `(53)/(2)` B. `(55)/(2)` C. `(57)/(2)` D.

`"if "f(x) ={ underset(5x, 1,2 le x le 3)(3x+4, 0 le x le 2}},` then evaluate `int_(0)^(3) f(x) dx.`

Description : `"if "f(x) ={ underset(5x, 1,2 le x le 3)(3x+4, 0 le x le 2}},` then evaluate `int_(0)^(3) f(x) dx.`

Last Answer : `"if "f(x) ={ underset(5x, 1,2 le x le 3)(3x+4, 0 le x le 2}},` then evaluate `int_(0)^(3) f(x) dx.`

If f(x) 3x plus 10x and g(x) 2x and ndash 4 find (f and ndash g)(x).?

Description : If f(x) 3x plus 10x and g(x) 2x and ndash 4 find (f and ndash g)(x).?

Last Answer : Feel Free to Answer

Complete set of solution of inequation `sqrt(3x^2+5x+7)-sqrt(3x^2+5x+2)gt1` is `(-a,-b)uu(-c,-d)` then find the value of a+b+c+d

Description : Complete set of solution of inequation `sqrt(3x^2+5x+7)-sqrt(3x^2+5x+2)gt1` is `(-a,-b)uu(-c,-d)` then find the value of a+b+c+d

Last Answer : Complete set of solution of inequation `sqrt(3x^2+5x+7)-sqrt(3x^2+5x+2)gt1` is `(-a,-b)uu(-c,-d)` then find the ... +c+d A. `4` B. `3` C. `2` D. `1`

Let R be a relation on the set N, defined by {(x, y) : 2x – y = 10} then R is -Maths 9th

Description : Let R be a relation on the set N, defined by {(x, y) : 2x – y = 10} then R is -Maths 9th

Last Answer : (a) ReflexiveGiven, {(\(x\), y) : 2\(x\) – y = 10} Reflexive, \(x\) R \(x\) = 2\(x\) – \(x\) = 10 ⇒ \(x\) = 10 ⇒ y = 10 ∴ Point (10, 10) ∈ N ⇒ R is reflexive.

If `f(x) = 2x^(2)+5x+2`, then find the approximate value of `f(2.01)`.

Description : If `f(x) = 2x^(2)+5x+2`, then find the approximate value of `f(2.01)`.

Last Answer : If `f(x) = 2x^(2)+5x+2`, then find the approximate value of `f(2.01)`.

Find the maximum or minimum values of the following functions: (i)`x^(3)-2x^(2)+x+3` (ii)` x^(3)-6x^(2)+9x+4` (iii) `(x+1)(x-2)^(2)+1` (iv) `2x^(3)-9x

Description : Find the maximum or minimum values of the following functions: (i)`x^(3)-2x^(2)+x+3` (ii)` x^(3)-6x^(2)+9x+4` (iii) `(x+1)(x-2)^(2)+1` (iv) `2x^(3)-9x

Last Answer : Find the maximum or minimum values of the following functions: (i)`x^(3)-2x^(2)+x+3` (ii)` x^(3)-6x^(2)+9x+4` ... 2)^(2)+1` (iv) `2x^(3)-9x^(2)+12x+1`

A structure brings together a group of A) items of the same data type B) related data items and variables C) integers with user defined names D) floating points with user defined names

Description : A structure brings together a group of A) items of the same data type B) related data items and variables C) integers with user defined names D) floating points with user defined names

Last Answer : B) related data items and variables

Which of the following is/are not true? (a) The set of negative integers is countable. (b) The set of integers that are multiples of 7 is countable. (c) The set of even integers is countable. (d) The set of real numbers between 0 and 1/2 is countable. (A) (a) and (c) (B) (b) and (d) (C) (b) only (D) (d) only

Description : Which of the following is/are not true? (a) The set of negative integers is countable. (b) The set of integers that are multiples of 7 is countable. (c) The set of even integers is countable. (d) The set of real numbers between 0 ... . (A) (a) and (c) (B) (b) and (d) (C) (b) only (D) (d) only

Last Answer : (D) (d) only

Which of the following provides the best description of an entity type? (A) A specific concrete object with a defined set of processes (e.g. Jatin with diabetes) (B) A value given to a particular attribute (e.g. height-230 cm) (C) A thing that we wish to collect data about zero or more, possibly real world examples of it may exist. (D) A template for a group of things with the same set of characteristics that may exist in the real world

Description : Which of the following provides the best description of an entity type? (A) A specific concrete object with a defined set of processes (e.g. Jatin with diabetes) (B) A value given to a ... template for a group of things with the same set of characteristics that may exist in the real world

Last Answer : Answer: D

If `f(x)=|(1,x,x+1),(2x,x(x-1),(x+1)x),(3x(x-1),x(x-1)(x-2),(x+1)x(x-1))|,` then f(100) is equal to - (i)`0` (ii)`1` (iii)`100` (iv)`-100`

Description : If `f(x)=|(1,x,x+1),(2x,x(x-1),(x+1)x),(3x(x-1),x(x-1)(x-2),(x+1)x(x-1))|,` then f(100) is equal to - (i)`0` (ii)`1` (iii)`100` (iv)`-100`

Last Answer : If `f(x)=|(1,x,x+1),(2x,x(x-1),(x+1)x),(3x(x-1),x(x-1)(x-2),(x+1)x(x-1))|,` then f(100) is equal to - (i)`0` (ii)`1` (iii)`100` (iv)`-100`

If `f(x)=|(1,x,x+1),(2x,x(x-1),(x+1)x),(3x(x-1),x(x-1)(x-2),(x+1)x(x-1))|,` then f(100) is equal to - (i)`0` (ii)`1` (iii)`100` (iv)`-100`

Description : If `f(x)=|(1,x,x+1),(2x,x(x-1),(x+1)x),(3x(x-1),x(x-1)(x-2),(x+1)x(x-1))|,` then f(100) is equal to - (i)`0` (ii)`1` (iii)`100` (iv)`-100`

Last Answer : If `f(x)=|(1,x,x+1),(2x,x(x-1),(x+1)x),(3x(x-1),x(x-1)(x-2),(x+1)x(x-1))|,` then f(100) is ... `1` (iii)`100` (iv)`-100` A. 1 B. 0 C. 100 D. `-100`

If `f(x)={x}+{x+[(x)/(1+x^(2))]}+{x+[(x)/(1+2x^(2))]}+{x+[(x)/(1+3x^(2))]}.......+{x+[(x)/(1+99x^(2))]}`, then values of `[f(sqrt(3))]` is where `[*]`

Description : If `f(x)={x}+{x+[(x)/(1+x^(2))]}+{x+[(x)/(1+2x^(2))]}+{x+[(x)/(1+3x^(2))]}.......+{x+[(x)/(1+99x^(2))]}`, then values of `[f(sqrt(3))]` is where `[*]`

Last Answer : If `f(x)={x}+{x+[(x)/(1+x^(2))]}+{x+[(x)/(1+2x^(2))]}+{x+[(x)/(1+3x^(2))]} ... represent fractional part function) A. `5050` B. `4950` C. `17` D. `73`

Suppose the function y and a fuzzy integer number around -4 for x are given as y=(x-3)2+2 Around -4={(2,0.3), (3,0.6), (4,1), (5,0.6), (6,0.3)} respectively. Then f(Around - 4) is given by: (A) {(2,0.6), (3,0.3), (6,1), (11,0.3)} (B) {(2,0.6), (3,1), (6,1), (11,0.3)} (C) {(2,0.6), (3,1), (6,0.6), (11,0.3)} (D) {(2,0.6), (3,0.3), (6,0.6), (11,0.3)}

Description : Suppose the function y and a fuzzy integer number around -4 for x are given as y=(x-3)2+2 Around -4={(2,0.3), (3,0.6), (4,1), (5,0.6), (6,0.3)} respectively. Then f(Around - 4) is given by: (A) {(2,0.6), (3,0.3), ... 6), (3,1), (6,0.6), (11,0.3)} (D) {(2,0.6), (3,0.3), (6,0.6), (11,0.3)}

Last Answer : (C) {(2,0.6), (3,1), (6,0.6), (11,0.3)}

Let R be a relation on the set of integers given by a = 2^k .b for some integer k. Then R is -Maths 9th

Description : Let R be a relation on the set of integers given by a = 2^k .b for some integer k. Then R is -Maths 9th

Last Answer : (c) equivalence relationGiven, a R b = a = 2k .b for some integer. Reflexive: a R a ⇒ a = 20.a for k = 0 (an integer). True Symmetric: a R b ⇒ a = 2k b ⇒ b = 2-k . a ⇒ b R a as k, -k are both ... = 2k1 + k2 c, k1 + k2 is an integer. ∴ a R b, b R c ⇒ a R c True ∴ R is an equivalence relation.

Let R be the rectangular window against which the lines are to be clipped using 2D Sutherland-Cohen line clipping algorithm. The rectangular window has lower left-hand corner at (-5,1) and upper righthand corner at (3,7). Consider the following three lines for clipping with the given end point co-ordinates: Line AB: A(-6,2) and B(-1,8) Line CD: C(-1,5) and D(4,8) Line EF: E(-2,3) and F(1,2) Which of the following line(s) is/are candidate for clipping? (A) AB (B) CD (C) EF (D) AB and CD

Description : Let R be the rectangular window against which the lines are to be clipped using 2D Sutherland-Cohen line clipping algorithm. The rectangular window has lower left-hand corner at (-5,1) and upper righthand corner at (3,7). ... s) is/are candidate for clipping? (A) AB (B) CD (C) EF (D) AB and CD

Last Answer : (D) AB and CD

A relation R={A,B,C,D,E,F,G} is given with following set of functional dependencies: F={AD→E, BE→F, B→C, AF→G} Which of the following is a candidate key? (A) A (B) AB (C) ABC (D) ABD

Description : A relation R={A,B,C,D,E,F,G} is given with following set of functional dependencies: F={AD→E, BE→F, B→C, AF→G} Which of the following is a candidate key? (A) A (B) AB (C) ABC (D) ABD

Last Answer : Answer: D

If `f(x) = x^(2) - 5x -36` and `g(x) = x^(2) + 9x + 20,` then for what values of `x` is `2f(x) = 3g(x)` ?

Description : If `f(x) = x^(2) - 5x -36` and `g(x) = x^(2) + 9x + 20,` then for what values of `x` is `2f(x) = 3g(x)` ?

Last Answer : If `f(x) = x^(2) - 5x -36` and `g(x) = x^(2) + 9x + 20,` then for what values of `x` is `2f(x) = 3g(x)` ?

The area bounded by the curves `y=6x-x^(2)` and `y=x^(2)-2x` is less then

Description : The area bounded by the curves `y=6x-x^(2)` and `y=x^(2)-2x` is less then

Last Answer : The area bounded by the curves `y=6x-x^(2)` and `y=x^(2)-2x` is less then A. 18 B. 19 C. 22 D. 20

f(x) = x^4 – 2x^3 + 3x^2 – ax + b is a polynomial such that when it is divided by (x – 1) and (x + 1), the remainders are respectively 5 and 19. -Maths 9th

Description : f(x) = x^4 – 2x^3 + 3x^2 – ax + b is a polynomial such that when it is divided by (x – 1) and (x + 1), the remainders are respectively 5 and 19. -Maths 9th

Last Answer : answer:

What is the value of x in the equation 0.25 open brackets 3x - 4 close brackets - 0.5x equals 2.75 A. 27 B. 15 C. 7 D. 3?

Description : What is the value of x in the equation 0.25 open brackets 3x - 4 close brackets - 0.5x equals 2.75 A. 27 B. 15 C. 7 D. 3?

Last Answer : Work it through, doing the same thing to both sides:0.25(3x - 4) - 0.5x = 2.75[Multiply both sides by 4]→ 4 (0.25(3x - 4) - 0.5x) = 4 (2.75)→ 4 0.25(3x - 4) - 4 0.5x = 4 2.75→ 3x - 4 - 2x = ... 11[Add 4 to both sides]→ (x - 4) + 4 = (11) + 4→ x - 4 + 4 = 11 + 4→ x = 15→ Solution is B. 15

The relation "divides" on a set of positive integers is .................. (A) Symmetric and transitive (B) Anti symmetric and transitive (C) Symmetric only (D) Transitive only

Description : The relation "divides" on a set of positive integers is .................. (A) Symmetric and transitive (B) Anti symmetric and transitive (C) Symmetric only (D) Transitive only

Last Answer : (B) Anti symmetric and transitive Explanation: The ‘divide’ operation is antisymmetric because if a divides b does not necessarily implies that b divides a. If a divides b and b divides c then a divides c. So, it is transitive as well.

If there are n integers to sort, each integer has d digits and each digit is in the set {1,2, ..., k}, radix sort can sort the numbers in: (A) O(d n k) (B) O(d nk) (C) O((d+n)k) (D) O(d(n+k))

Description : If there are n integers to sort, each integer has d digits and each digit is in the set {1,2, ..., k}, radix sort can sort the numbers in: (A) O(d n k) (B) O(d nk) (C) O((d+n)k) (D) O(d(n+k))

Last Answer : (D) O(d(n+k))

The value of quadratic polynomial f (x) = 2x 2 – 3x- 2 at x = -2 is ...... (a) 12 (b) 15 (c) -12 (d) 16

Description : The value of quadratic polynomial f (x) = 2x 2 – 3x- 2 at x = -2 is ...... (a) 12 (b) 15 (c) -12 (d) 16

Last Answer : (a) 12

Let `f(x)=1-x-x^3`.Find all real values of x satisfying the inequality, `1-f(x)-f^3(x)>f(1-5x)`

Description : Let `f(x)=1-x-x^3`.Find all real values of x satisfying the inequality, `1-f(x)-f^3(x)>f(1-5x)`

Last Answer : Let `f(x)=1-x-x^3`.Find all real values of x satisfying the inequality, `1-f(x)-f^3(x)>f(1-5x)` A. `(-oo, -2 ... ) uu (2, oo)` C. `(1, 2)` D. `(0, 2)`

If `(5x+7y):(3x+11y)=2:3`, then find x:y.

Description : If `(5x+7y):(3x+11y)=2:3`, then find x:y.

Last Answer : If `(5x+7y):(3x+11y)=2:3`, then find x:y.

What is the answer 6x-8y-5x plus 3y?

Description : What is the answer 6x-8y-5x plus 3y?

Last Answer : The given expression can be simplified to: x-5y

6x- 8y- 5x + 3y?

Description : 6x- 8y- 5x + 3y?

Last Answer : x-5y

Find the range of values of x which satisfy x^2 + 6x – 27 > 0, –x^2 + 3x + 4 > 0 simultaneously. -Maths 9th

Description : Find the range of values of x which satisfy x^2 + 6x – 27 > 0, –x^2 + 3x + 4 > 0 simultaneously. -Maths 9th

Last Answer : answer:

The height of h(A) of a fuzzy set A is defined as h(A) = sup A(x) xϵA Then the fuzzy set A is called normal when (A) h(A) = 0 (B) h(A) < 0 (C) h(A) = 1 (D) h(A) < 1

Description : The height of h(A) of a fuzzy set A is defined as h(A) = sup A(x)  xϵA Then the fuzzy set A is called normal when (A) h(A) = 0 (B) h(A) < 0 (C) h(A) = 1 (D) h(A) < 1

Last Answer : (C) h(A) = 1 

If x^3 + 5x^2 + 10k leaves remainder – 2x when divided by x^2 + 2, then what is the value of k ? -Maths 9th

Description : If x^3 + 5x^2 + 10k leaves remainder – 2x when divided by x^2 + 2, then what is the value of k ? -Maths 9th

Last Answer : x3+5x2+10k =(x2+2)(x+5)+10k−2x−10 ⇒10k−2x−10=−2x ⇒10k−10=0 or k=1.

If `int (x^(2020)+x^(804)+x^(402))(2x^(1608)+5x^(402)+10)^(1//402)dx=(1)/(10a)(2x^(2010)+5x^(804)+10^(402))^(a//402)`. Then `(a-400)` is equal to ....

Description : If `int (x^(2020)+x^(804)+x^(402))(2x^(1608)+5x^(402)+10)^(1//402)dx=(1)/(10a)(2x^(2010)+5x^(804)+10^(402))^(a//402)`. Then `(a-400)` is equal to ....

Last Answer : If `int (x^(2020)+x^(804)+x^(402))(2x^(1608)+5x^(402)+10)^(1//402)dx=(1)/(10a)(2x^(2010)+5x^(804)+ ... )^(a//402)`. Then `(a-400)` is equal to .......

If 2x-y=4 then calculate 6x-3y=? (a)15 (b)12 (c)18 (d)10

Description : If 2x-y=4 then calculate 6x-3y=? (a)15 (b)12 (c)18 (d)10

Last Answer : (b)12

If n and r are non-negative integers and n≥r, then p(n + 1, r) equals to (A) P(n,r)(n+1) / (n+1-r) (B) P(n,r)(n+1) / (n-1+r) (C) p(n,r)(n-1) / (n+1-r) (D) p(n,r)(n+1) / (n+1+r)

Description : If n and r are non-negative integers and n≥r, then p(n + 1, r) equals to (A) P(n,r)(n+1) / (n+1-r) (B) P(n,r)(n+1) / (n-1+r) (C) p(n,r)(n-1) / (n+1-r) (D) p(n,r)(n+1) / (n+1+r)

Last Answer : (A) P(n,r)(n+1) / (n+1-r)  Explanation: p(n, r) = n!/(n-r)! p( n+1, r) = (n+1)!/(n+1-r)! = (n+1) n! /(n+1-r) (n-r)! = P(n, r)(n+1)/(n+1-r)

The number of distinct solutions of the equation `5/4cos^(2)2x + cos^4 x + sin^4 x+cos^6x+sin^6 x =2` in the interval `[0,2pi] ` is

Description : The number of distinct solutions of the equation `5/4cos^(2)2x + cos^4 x + sin^4 x+cos^6x+sin^6 x =2` in the interval `[0,2pi] ` is

Last Answer : The number of distinct solutions of the equation `5/4cos^(2)2x + cos^4 x + sin^4 x+cos^6x+sin^6 x =2` in the interval `[0,2pi] ` is