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Functie injectiva

Posted: Thu Sep 24, 2009 4:24 pm
by Al3xx
Exista functii injective \( f:R \rightarrow R \), astfel incat:

\( 3f^3(x^5-x^4+x^3) - f^2(x^5-x^4+x^3) \ge f^4(x)+4,\forall x \in R \)?

Posted: Thu Sep 24, 2009 9:19 pm
by Marius Mainea
Nu. (\( f(0)=f(1)=2 \))