IMO Shortlist 2018 problem A5


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3. listopada 2019.
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Determine all functions f:(0,\infty)\to\mathbb{R} satisfying \left(x+\frac{1}{x}\right)f(y)=f(xy)+f\left(\frac{y}{x}\right)for all x,y>0.

Izvor: https://www.imo-official.org/problems/IMO2018SL.pdf