Difference between revisions of "2016 APMO Problems/Problem 5"
(Created page with "==Problem== Find all functions <math>f: \mathbb{R}^+ \to \mathbb{R}^+</math> such that <cmath>(z + 1)f(x + y) = f(xf(z) + y) + f(yf(z) + x),</cmath>for all positive real numb...") |
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Revision as of 21:53, 11 July 2021
Problem
Find all functions 
such that
![\[(z + 1)f(x + y) = f(xf(z) + y) + f(yf(z) + x),\]](http://latex.artofproblemsolving.com/7/9/2/79270c212bc2861a5e55e9316294cbd32ef66eaf.png)
for all positive real numbers 
.
