Problem

Source: 2015 Final Korean Mathematical Olympiad Day 1 Problem 1

Tags: Functional Equations, function, algebra, functional equation



Find all functions $f: R \rightarrow R$ such that $f(x^{2015} + (f(y))^{2015}) = (f(x))^{2015} + y^{2015}$ holds for all reals $x, y$