olymmath

BxMO 2023 Problem 1

  • Answer

Find all functions f:R→Rf: \mathbb{R} \rightarrow \mathbb{R} such that

(x−y)(f(x)+f(y))⩽f(x2−y2) for all x,y∈R(x-y)(f(x)+f(y)) \leqslant f\left(x^{2}-y^{2}\right) \text { for all } x, y \in \mathbb{R}

Dataset text NuminaMath olympiads. Quoted with source.

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f(x)=c x

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