A function `f: R rarr R` is such that `f ((1-x)/(1+x))=x` for all `x != -1.` Prove the following. `(f(f(x))=x`

The function f:R rarr R is defined by f(x)=(x-1)(x-2)(x-3) is

A function f:R rarr R satisfies the equation f(x+y)=f(x)f(y) for allx,y in R and f(x)!=0 for all x in R .If f(x) is differentiable at x=0 .If f(x)=2, then prove that f'(x)=2f(x) .

The function f:R rarr R defined as f(x)=(x^(2)-x+1)/(x^(2)+x+1) is

The function f:R rarr R defined as f(x)=(x^(2)-x+1)/(x^(2)+x+1) is

A function f:R rarr R satisfies that equation f(x+y)=f(x)f(y) for all x,y in R ,f(x)!=0. suppose that the function f(x) is differentiable at x=0 and f'(0)=2. Prove that f'(x)=2f(x)

If the function f: R to R is defined by f(x) =(x^(2)+1)^(35) for all x in RR then f is

A function f:R rarr R satisfies the equation f(x+y)=f(x)f(y) for all x,y in R.f(x)!=0 Suppose that the function is differentiable at x=0 and f'(0)=2. Prove that f'(x)=2f(x)

If the function f:R rarr R be such that f(x)=sin(tan^(-1)x) then inverse of the function f(x) is