Question 125
Find all functions $f: \mathbb{R} \to \mathbb{R}$ such that
$$
f(f(x) - y^2) = (x - y)^2 \cdot f(x + y)
$$
for any real numbers $x$ and $y$.
$$
f(f(x) - y^2) = (x - y)^2 \cdot f(x + y)
$$
for any real numbers $x$ and $y$.
MathNet 2006 — Part 04 Question 125
Math Olympiad Vault · MathNet 2006 — Part 04