Question

Let f be a function such that f(f(x))=x^2-x+1. Find the value of f(0).

Answer 1

I should also say that f is defined everywhere

Answer 2

Wow this is a hard one

Answer 3

f(x) cannot be linear, f(f(x)) = a (ax+b)+b ----> linear.
f(x) cannot be quadratic either,
f(f(x)) will be of degree 4 then.
why this kolaveri kolaveri di :O