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Functional Equation

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anemone

MHB POTW Director
Staff member
Feb 14, 2012
3,812
Let $ \mathbb{Z} $ be the set of integers. Determine all functions $f: \mathbb{Z} \rightarrow \mathbb{Z} $ such that, for all integers $a$ and $b$, $f(2a)+2f(b)=f(f(a+b))$.