IMO Shortlist 2017 problem A6
Dodao/la:
arhiva3. listopada 2019. 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 $y$, \[ f(f(x)f(y)) + f(x+y) = f(xy). \]
Izvor: https://www.imo-official.org/problems/IMO2017SL.pdf