Question 42
Find all functions $f: \mathbb{R} \to \mathbb{R}$ that for all real $x, y$ fulfill the equality:
$$
f(f(x) - y^2) = f(x^2) + y^2 f(y) - 2f(xy).
$$
$$
f(f(x) - y^2) = f(x^2) + y^2 f(y) - 2f(xy).
$$
MathNet 2026 — Part 08 Question 42
Math Olympiad Vault · MathNet 2026 — Part 08