Question 75
Find all functions $f : \mathbb{R} \to \mathbb{R}$ which fulfill
$$
f(x^2f(x) + f(y)) = f(f(x^3)) + y, \text{ for every } x, y \in \mathbb{R}.
$$
$$
f(x^2f(x) + f(y)) = f(f(x^3)) + y, \text{ for every } x, y \in \mathbb{R}.
$$
MathNet 2017-part-05 — 176 problems (EN–VI) Question 75
Math Olympiad Vault · MathNet 2017-part-05 — 176 problems (EN–VI)