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Ecuatie functionala
Posted:
Tue Sep 01, 2009 1:11 am
by
Bogdan Posa
Sa se determine functiile injective
\( f:R\to R \)
cu proprietatea ca:
\( f(x)f(y)=xf(y)+yf(x)-f(xy), \forall x,y \in R \)
.
Posted:
Tue Sep 01, 2009 2:58 am
by
Marius Mainea
f(x)=x sau f(x)=x-1.