APMO 2016 #5

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Zawadx
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APMO 2016 #5

Unread post by Zawadx » Fri Aug 05, 2016 10:17 am

Find all functions $f: \mathbb{R}^+ \to \mathbb{R}^+$ such that
$$(z + 1)f(x + y) = f(xf(z) + y) + f(yf(z) + x),$$for all positive real numbers $x, y, z$.

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