FE (bacca level)

For discussing Olympiad Level Algebra (and Inequality) problems
mutasimmim
Posts:107
Joined:Sun Dec 12, 2010 10:46 am
FE (bacca level)

Unread post by mutasimmim » Sun Sep 28, 2014 2:38 pm

Find all functions $ f : \mathbb R \mapsto \mathbb R $ such that the set {$\frac {f (x)}{x } $} is finite and for all real $ x $, $ f ((x-1-f (x))=f (x)-x-1 $

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