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Boring Wrapped FE

Source: Indonesia National Math Olympiad 2022 Problem 1 (INAMO 2022/1)

October 4, 2022
functional equationFunctional equation in RIndonesiaIndonesia MO

Problem Statement

Determine all functions f:R→Rf: \mathbb{R} \to \mathbb{R} such that for any x,y∈Rx,y \in \mathbb{R} we have f(f(f(x))+f(y))=f(y)−f(x) f(f(f(x)) + f(y)) = f(y) - f(x)
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