Question 61
Let $f$ be a real-valued function of a real variable such that
$$
f(f(x)) = x^2 - x + 1
$$
for all real numbers $x$. Determine $f(0)$.
$$
f(f(x)) = x^2 - x + 1
$$
for all real numbers $x$. Determine $f(0)$.
MathNet 2011 Question 61
Math Olympiad Vault · MathNet 2011