ELMO SL 2012 A8

Find all functions $f : \mathbb{Q} \to \mathbb{R}$ such that $f(x)f(y)f(x+y) = f(xy)(f(x) + f(y))$ for all $x,y\in\mathbb{Q}$ .

Sammy Luo and Alex Zhu.

Dataset text AI-MO AoPS. Quoted with source.

Solutions

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