Question 90
Find all functions $f : \mathbb{R} \to \mathbb{R}$ such that for all $x, y \in \mathbb{R}$
$$
f(x^{2015} + f(y)^{2015}) = f(x)^{2015} + y^{2015}.
$$
$$
f(x^{2015} + f(y)^{2015}) = f(x)^{2015} + y^{2015}.
$$
MathNet 2015-part-06 — 191 problems (EN–VI) Question 90
Math Olympiad Vault · MathNet 2015-part-06 — 191 problems (EN–VI)