Let `f(x)=x^(2)` and `g(X)=sinx` for all `xepsilonR`. Then the set of all `x` satisfying `(f o g o g o f)(x)=(g o g o f)(x)`, where `(f o g)(x)=f(g(x))`is

Let f(x)=x^2 and g(x)=sinx for all xIR then the set of all x satisfying (f o g o g o f ), (x)=(g o g o f) , (x) , where (f o g ) , (x)=f(g(x)) , is

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

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

Let f(x) = e^(x) - x and g (x) = x^(2) - x, AA x in R . Then the set of all x in R where the function h(x) = (f o g) (x) in increasing is :

Let f(x)=sin((pi)/6sin((pi)/2 sin x)) for all x epsilonR and g(x)=(pi)/2sinx for all x epsilonR . Let (fog) (x) denote f(g(x)) and (g o f) denote g(f(x)). Then which the following is (are) true?

Find f o g and g o f f(x) = |x| and g(x) = |5x -2|

Find the value of k, such that f o g = g o f. If f (x) = 3x + 2, g(x) = 6x - k

Two functions f and g are defined on the set of real numbers RR by , f(x)= cos x and g(x) =x^(2) , then, (f o g)(x)=

If f(x)=2 x^(2)+x+1 and g(x)=3 x+1 then f o g(2)