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) = e^(x)- x and g(x) = x^(2) - x , AA x in R . Then, the set of all x in R , when the function h(x)= (fog)(x) is increasing, in

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

Let f(x) = 15 -|x-10|, x in R . Then, the set of all values of x, at which the function, g(x) = f(f(x)) is not differentiable, is

Let f(x) = 15 -|x-10|, x in R . Then, the set of all values of x, at which the function, g(x) = f(f(x)) is not differentiable, 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)=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

Consider f, g and h be three real valued function defined on R. Let f(x)=sin3x+cosx,g(x)=cos3x+sinx and h(x)=f^(2)(x)+g^(2)(x). Then, The length of a longest interval in which the function g=h(x) is increasing, is

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