Question 52
Determine all functions $f: \mathbb{R}^+ \to \mathbb{R}^+$ such that for any $x, y \gt 0$ it holds that
$$
f(xy + f(x)) = y f(x) + x.
$$
$$
f(xy + f(x)) = y f(x) + x.
$$
MathNet 2026 — Part 07 Question 52
Math Olympiad Vault · MathNet 2026 — Part 07