If `f(x)=ax^2+bx+c` find a, b, c given that f(1)= 4,f(2)=13,f(-2)=1.

If f(x)=-x^(2) , find f^(-1)({9,-36}) .

If f(x) = 3x + 1,find f(-2),f(0),f(2).

If f(x) = x^2-5|x|+2 , find f(0),f(1),f(-1)

Find f0g and g0f : f(x)=x^2+2 , g(x)=1-1/(1-x)

If f(x) is a polynomial of degree 2 such that f(0) = 1,f(1) = 0 and f(3) = 5, find the domain of the function f such that f (x) is never negative.

If f (2) = 4 andf'(2) = 1, show that lim_(xrarr2)(xf(2)-2f(x))/(x-2)=2

Find f {f (x)} if f(x)=(x+1)/(x-1)

Find y=(f(f(x))) if f(x)=1/(1-x)

If f(x)=tan^(-1)(cot x) , then find f'(x) .