Question 68
Find all functions $f: \mathbb{R} \to \mathbb{R}$ such that
$$
f(xf(y) - y^2) = (y + 1)f(x - y)
$$
holds for all $x, y \in \mathbb{R}$.
$$
f(xf(y) - y^2) = (y + 1)f(x - y)
$$
holds for all $x, y \in \mathbb{R}$.
MathNet 2019-part-01 — 184 problems (EN–VI) Question 68
Math Olympiad Vault · MathNet 2019-part-01 — 184 problems (EN–VI)