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Ecuatie cu doua functii

Posted: Fri Jan 04, 2008 7:58 pm
by Vlad Matei
Determinati functiile \( f,g:\mathbf{R}\rightarrow \mathbf{R} \) astfel incat
1)\( f(xg(y+1))+y=xf(y)+f(x+g(y)) \)
2)\( f(0)+g(0)=0 \)

Bulgaria TST 2007