Question 50
Find all functions $f: \mathbb{R} \to \mathbb{R}$ such that for any real numbers $x, y$ we have
$$
f(y - xy) = f(x)y + (x - 1)^2 f(y).
$$
$$
f(y - xy) = f(x)y + (x - 1)^2 f(y).
$$
MathNet 2017-part-02 — 176 problems (EN–VI) Question 50
Math Olympiad Vault · MathNet 2017-part-02 — 176 problems (EN–VI)