IMO Shortlist 2017 problem A6


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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).

Source: https://www.imo-official.org/problems/IMO2017SL.pdf