Functie

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zeta
Euclid
Posts: 14
Joined: Thu Mar 12, 2009 1:00 pm
Location: Slatina

Functie

Post by zeta »

Fie o functie \( f:A\rightarrow A \) astfel incat \( f(x^2-y^2)+f(2xy)=f(x^2+y^2),\ x,\ y\in A \). Aflati functia in fiecare din cazurile \( A=\mathbb{N,Z,Q,R}. \)
S.S.
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