Question 67
Find all functions $f : \mathbf{R} \to \mathbf{R}$ such that
$$
f(x^3 + f(y)) = x^2 f(x) + y, \tag{1}
$$
for all $x, y \in \mathbf{R}$.
$$
f(x^3 + f(y)) = x^2 f(x) + y, \tag{1}
$$
for all $x, y \in \mathbf{R}$.
MathNet 2016-part-02 — 184 problems (EN–VI) Question 67
Math Olympiad Vault · MathNet 2016-part-02 — 184 problems (EN–VI)