Question 14
Find all functions $f: \mathbb{R} \to \mathbb{R}$ such that
$$
f(x + y f(x)) + y = x y + f(x + y)
$$
for all real numbers $x, y$.
$$
f(x + y f(x)) + y = x y + f(x + y)
$$
for all real numbers $x, y$.
MathNet 2025 — Part 01 (100 complete bilingual questions) Question 14
Math Olympiad Vault · MathNet 2025 — Part 01 (100 complete bilingual questions)