olymmath

BxMO 2013 Problem 2

  • Answer

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

f(x+y)+y⩽f(f(f(x)))f(x+y)+y \leqslant f(f(f(x)))

holds for all x,y∈Rx, y \in \mathbb{R}.

Dataset text NuminaMath olympiads. Quoted with source.

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f(z)=c-z

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