olymmath

BALKAN 2023 Problem 1

  • Paper

Find all functions f:R→Rf: \mathbb{R} \rightarrow \mathbb{R} such that for all x,y∈Rx, y \in \mathbb{R},

xf(x+f(y))=(y−x)f(f(x))x f(x+f(y))=(y-x) f(f(x))

Dataset text NuminaMath olympiads. Quoted with source.

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