If `f(x) = log((1+x)/(1-x))`, show that `f((2x)/(1+x^2))=2f(x)`.

If f(x) = log_e ((1+x)/(1-x)) , prove that f((2x)/(1+x^2))=2f(x) .

If f(x) = (1)/(1-x) , show that f(f(x)) = x

If f(x)=log((1+x)/(1-x)) , then f((2x)/(1+x^2)) equal to:

If f (x) = log_e ((1+x)/(1-x)) , prove that: f (x) +f (y)= f ((x+y)/(1+xy)) .

If f(x)=log(x/(x-1)) , show that f(x+1)+f(x)=log ((x+1)/(x-1))

If f(x)=(x-1)/(x+1) , then show that f(1/x)=-f(x)

If f(x) = log ((1-x)/(1+x)) -1 lt x lt 1 then show that f(-x) = -f (x)

If f(x)=(x-1)/(x+1) , then show that f(-1/x)=-1/f(x) .

If f(x) = (x-1)/(x+1) , x ne -1 then show that f(f(x)) =(-1)/x

If ‘f’ is a real function defined by : f(x)= (x-1)/(x+1) , then prove that f (2x) = (3 f(x)+1)/(f(x)+3) .