2016 APMO Problems/Problem 5
Revision as of 21:53, 11 July 2021 by Satisfiedmagma (talk | contribs) (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...")
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 
.
