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2017 IMO Problems/Problem 2

Revision as of 17:13, 10 December 2020 by Emerald block (talk | contribs) (Undo incomplete solution (only accounts for integers))

Let $\mathbb{R}$ be the set of real numbers , determine all functions $f:\mathbb{R}\rightarrow\mathbb{R}$ such that for any real numbers $x$ and $y$ ${f(f(x)f(y)) + f(x+y)}$ =$f(xy)$

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