olymmath

ISL 2017 A6

    Find all functions f:R→Rf: \mathbb{R} \rightarrow \mathbb{R} such that f(f(x)f(y))+f(x+y)=f(xy)f(f(x) f(y))+f(x+y)=f(x y) for all x,y∈Rx, y \in \mathbb{R}. (Albania)

    Dataset text NuminaMath olympiads. Quoted with source.

    Solutions

    Official solution Solution 1 by the IMO Problem Selection Committee

    The terms of the source let olymmath link to this solution but not copy it. Read the solution (IMO official site).

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