Question 31
Find all functions $f : \mathbb{R}^+ \to \mathbb{R}$ such that for all $x, y \gt 0$ we have
$$
f(x^2 + x f(y) + y) = 2x + f(y).
$$
$$
f(x^2 + x f(y) + y) = 2x + f(y).
$$
MathNet 2025 — 50 problems — Part 01 Question 31
Math Olympiad Vault · MathNet 2025 — 50 problems — Part 01