Question 48
Find all functions $f: \mathbb{R} \rightarrow \mathbb{R}$ such that
$$
f\left(2 x^{3}+f(y)\right)=y+2 x^{2} f(x),
$$
for all real numbers $x, y$.
$$
f\left(2 x^{3}+f(y)\right)=y+2 x^{2} f(x),
$$
for all real numbers $x, y$.
MathNet 2018-part-05 — 181 problems (EN–VI) Question 48
Math Olympiad Vault · MathNet 2018-part-05 — 181 problems (EN–VI)