olymmath

IZhO 2014 Problem 2

    Do there exist? functions f:R→Rf: \mathbb{R} \rightarrow \mathbb{R} such that a) ff is a surjective function; and b) f(f(x))=(x−1)f(x)+2f(f(x))=(x-1) f(x)+2 for all xx real.

    Dataset text NuminaMath olympiads. Quoted with source.

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