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

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

Let f(x)=x-(1)/(x) then which one of the following statements is true?

Let f(x) be a non-constant polynomial with real coefficients such that f((1)/(2))=100 and f(x) le 100 for all real x. Which of the following statements is NOT necessarily true ?

If f(x)=-3x+2,x =1 then which of the following is not true

For the function f(x) = cos^(-1)x + cos ^(-1) x^(2) which of the following statements is/are true

Let f(x)=x sin(e^((1)/(x))) for x!=0 and for x=0 which of the following is true?

Let f : I - {-1,0,1} to [-pi, pi] be defined as f(x) = 2 tan^(-1) x - tan^(-1)((2x)/(1 -x^(2))) , then which of the following statements (s) is (are) correct ?

If f(x)=x(1-x)^(3) then which of following is true ?