Question 38
Find all functions $f : \mathbb{C} \to \mathbb{C}$ such that for all complex numbers $x, y$:
$$
f(f(x) + y f(y)) = x + |y|^2
$$
$$
f(f(x) + y f(y)) = x + |y|^2
$$
MathNet 2024-part-03 — 168 problems (EN–VI) Question 38
Math Olympiad Vault · MathNet 2024-part-03 — 168 problems (EN–VI)