Suppose that `f(x)f(f(x))=1` and `f(1000)=999` then which of the following is true

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

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

If f'(x^(2))=(ln x)/(x^(2)) and f(1)=-1/4 then which of the following is/are true

Suppose f is a function such that f'(x)=4x^3 and f''(x)=12 x^2 . Which of the following is true ?

Let f be a real valued function such that for any real x f(15+x)=f(15-x)and f(30+x)=-f(30-x) Then which of the following statements is true ?

Let f(x) be linear functions with the properties that f(1) le f(2), f(3) ge f(4) " and " f(5)=5. Which one of the following statements is true?

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