Let F(x) be such that `F((1-x)/(1+x))=x` for all `x!=-1`, then, `F(F(x))=?`

Let F(x) be such that F((1-x)/(1+x))=x for all x!=-1 which of the following statements is true

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

If f:R rarr R such that f(x)=(4^(x))/(4^(x)+2) for all x in R then (A)f(x)=f(1-x)(B)f(x)+f(1-x)=0(C)f(x)+f(1-x)=1(D)f(x)+f(x-1)=1

Let f(x) be a continuous function such that f(a-x)+f(x)=0 for all x in [0,a] . Then int_0^a dx/(1+e^(f(x)))= (A) a (B) a/2 (C) 1/2f(a) (D) none of these

Let f be a function such that f(3)=1 and f(3x)=x+f(3x-3) for all x. Then find the value of f(300).

Let f be a real vlaued fuction with domain R such that f(x+1)+f(x-1)=sqrt(2)f(x) for all x in R , then ,

Let f(x) be a function such that f'((1)/(x))+x^(3)f'(x)=0. What is int_(-1)^(1)f(x)dx

Let f(x)=x-[x],x in R, then f'((1)/(2)) is