Question 43
Find all functions $f: (0, \infty) \to [0, \infty)$ such that for all $x, y \in (0, \infty)$ it holds that
$$
f(x + y f(x)) = f(x) f(x + y).
$$
$$
f(x + y f(x)) = f(x) f(x + y).
$$
MathNet 2025-part-01 — 187 problems (EN–VI) Question 43
Math Olympiad Vault · MathNet 2025-part-01 — 187 problems (EN–VI)