Question 100
Find all functions $f: \mathbb{R} \to \mathbb{R}$ satisfying
$$
f(x + y f(x + y)) = y^2 + f(x) f(y)
$$
$$
f(x + y f(x + y)) = y^2 + f(x) f(y)
$$
MathNet 2021 — Part 05 Question 100
Math Olympiad Vault · MathNet 2021 — Part 05
Math Olympiad Vault · MathNet 2021 — Part 05