Home
Class 11
MATHS
Let f(x) = x^(2) and g(x) = sin x for a...

Let `f(x) = x^(2) and g(x) = sin x ` for all x `in` R. Then the set of all x satisfying (fogogog)(x) = (gogof)(x), where (fog)(x) = f(g(x)), is

A

`pm sqrt(n pi), n in {0,1,2, . . . }`

B

`pm sqrt(n pi), n in {1, 2, . . . }`

C

`(pi)/(2)+ 2 n pi, n in {. . . . , -2, -1, 0, 1, 2, . . . }`

D

`2 n pi , n in {. . . , -2, -1, 0, 1, 2. . . . }`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

Let f(x)=x^(2) and g(x)= sin x for all x in R . Then the set of all x satisfying (fogogof)(x)=(gogof)(x) , where (fog)(x)=f(g(x)) , is

If f(x)=x^(3)-x, g(x)=sin 2x , then

If f(x + 1/2) + f(x - 1/2) = f(x) for all x in R , then the period of f(x) is

If f(x) = 2x-1, g(x) = (x+1)/(2) for all x in R , then find (gof) (x).

Let f(x) = x^(2), g(x) = 2^(x) . Then solve the equation (fog)(x)=(gof)(x) .

Consider , f(x) = x^(lnx) and g(x) = e^2x let alpha and beta (alpha lt beta) be two values of x satisfying the equation f(x)=g(x) . If h(x) = (f(x))/(g(x)) then h'(alpha) is equal to :

IF f(x)=2x-1,g(x)=(x+1)/2 for all x in R , find (fog) (x)