Question 51
Find all functions $f: \mathbb{R} \to \mathbb{R}$ such that for all real numbers $x$ and $y$,
$$
f(xy + f(x^2)) = x f(x + y).
$$
$$
f(xy + f(x^2)) = x f(x + y).
$$
MathNet 2023-part-01 — 191 problems (EN–VI) Question 51
Math Olympiad Vault · MathNet 2023-part-01 — 191 problems (EN–VI)