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ÖMO 1989 Problem 6

    Determine all functions f:N0→N0f: \mathbb{N}_0 \rightarrow \mathbb{N}_0 such that f(f(n))+f(n)=2n+6f(f(n))+f(n)=2n+6 for all n∈N0n \in \mathbb{N}_0 .

    Dataset text AI-MO AoPS. Quoted with source.

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