Y by tiendung2006, dxd29070501
Find all functions
such that for all
the following holds:
![\[f(x)+f(y)=f(xy)+f(f(x)+f(y))\]](//latex.artofproblemsolving.com/a/c/a/aca098172ea7ce5663e9dd0dd10c2f1495630230.png)


![\[f(x)+f(y)=f(xy)+f(f(x)+f(y))\]](http://latex.artofproblemsolving.com/a/c/a/aca098172ea7ce5663e9dd0dd10c2f1495630230.png)
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