Y by Adventure10, Mango247
Find all functions
which satisfy the equality,
for any
.

![\[f(x+f(y))=f(x-f(y))+4xf(y)\]](http://latex.artofproblemsolving.com/c/b/9/cb98c5c6629dcea4edc53a3c3802236b3a066af9.png)

This post has been edited 2 times. Last edited by Amir Hossein, May 4, 2018, 2:50 AM
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