Question 61
Find all functions $f : \mathbb{R} \to \mathbb{R}$ such that
$$
f(x^2 + x f(y)) = x f(x + y)
$$
for all reals $x, y$.
$$
f(x^2 + x f(y)) = x f(x + y)
$$
for all reals $x, y$.
MathNet 2016-part-02 — 184 problems (EN–VI) Question 61
Math Olympiad Vault · MathNet 2016-part-02 — 184 problems (EN–VI)