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1996 IMO Problems/Problem 3

Revision as of 16:01, 6 October 2023 by Tomasdiaz (talk | contribs) (Created page with "==Problem== Let <math>S</math> denote the set of nonnegative integers. Find all functions <math>f</math> from <math>S</math> to itself such that <math>f(m+f(n))=f(f(m))+f(n...")
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Problem

Let $S$ denote the set of nonnegative integers. Find all functions $f$ from $S$ to itself such that

$f(m+f(n))=f(f(m))+f(n)$ $\forall m,n \in S$

Solution

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