Ecuatie functionala pe realele pozitive
Posted: Sat Jul 12, 2008 6:33 pm
Aflati functiile \( f : \mathbb{R}_+^{\ast} \rightarrow \mathbb{R}_+^{\ast} \) pentru care
\( f\left(x + f(y)\right) = f(x + y) + f(y) \), \( \forall x, y \in \mathbb{R}_+^{\ast} \).
[ IMO Shortlist 2007, A4 ]
\( f\left(x + f(y)\right) = f(x + y) + f(y) \), \( \forall x, y \in \mathbb{R}_+^{\ast} \).
[ IMO Shortlist 2007, A4 ]