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Ex. 55 va rog mult!!

Ex 55 Va Rog Mult class=

Răspuns :

[tex]f:R\rightarrow R,f(x)=\sqrt{2}x-1\\ \sqrt{2}\cdot \frac{f(a)-f(b)}{a-b}=\\ \sqrt{2} \cdot \frac{\sqrt{2}a-1-\sqrt{2}b+1}{a-b}=\\ \sqrt{2}\cdot \frac{\sqrt{2}(a-b)}{a-b}=\\ \frac{2(a-b)}{a-b}=2 \in Z, \vee a,b \in R,a \neq b[/tex]