Question 135
Find all functions $f: \mathbb{R} \to \mathbb{R}$, $g: \mathbb{R} \to \mathbb{R}$ such that
$$
f(x - 2f(y)) = xf(y) - yf(x) + g(x)
$$
for all real $x, y$.
$$
f(x - 2f(y)) = xf(y) - yf(x) + g(x)
$$
for all real $x, y$.
MathNet 2016-part-01 — 184 problems (EN–VI) Question 135
Math Olympiad Vault · MathNet 2016-part-01 — 184 problems (EN–VI)