Ecuatie functionala 1
Posted: Sat Feb 06, 2010 8:30 pm
Sa se determine toate functiile \( f:\mathbb{R}\rightarrow \mathbb{R} \) astfel incat:
\( f(x+y)+f(xy)=f(x)\cdot f(y)+f(x)+f(y)\ ,\ (\forall)x,y\in \mathbb{R} \)
\( f(x+y)+f(xy)=f(x)\cdot f(y)+f(x)+f(y)\ ,\ (\forall)x,y\in \mathbb{R} \)