Y by Adventure10, Mango247, and 1 other user
Find all functions
satisfying
![\[f(x+f(y))=x+f(f(y))\]](//latex.artofproblemsolving.com/8/d/a/8daa6bcb3155768ee1ba4bd22beb53a85a6e3923.png)
for all real numbers
and
, with the additional constraint
.

![\[f(x+f(y))=x+f(f(y))\]](http://latex.artofproblemsolving.com/8/d/a/8daa6bcb3155768ee1ba4bd22beb53a85a6e3923.png)
for all real numbers



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