" 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))

Let f (x) = 10 - |x-5| , x in R, then the set of all values of x at which f (f(x)) is not differentiable is

Let f (x) = 10 - |x-5| , x in R, then the set of all values of x at which f (f(x)) is not differentiable is

Let f(x)=sqrt(log_(10)x^(2)) then the set of all values of x for which f(x) is real 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)=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 R be the set of real numbers and the functions f:RrarrR and g:RrarrR be defined f(x)=x^2+2x-3 and g(x)=x+1 . Then the value of x for which f(g(x))=g(f(x)) is

Let R be the set of real numbers and the functions f:R rarr R and g:R rarr R be defined by f(x)=x^(2)+2x-3 and g(x)=x+1 Then the value of x for which f(g(x))=g(f(x)) is

Let R be the set of all real numbers. Let f: R rarr R be a function such that : |f(x) - f(y)|^2 le |x-y|^2, AA x, y in R . Then f(x) =

Let [x] denote the integral part of x in R and g(x)=x -[x] . Let f(x) be any continous function with f(0) =f(1), then the function h(x) = f(g(x))