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Demonstrati ca Gf f:R-R
f(x)=lg(x la puterea 2012+2012xla a doua+1) contine originea sistemului de coordonate.


Răspuns :

[tex]O(0,0)\in G_f\Leftrightarrow f(0)=0\\ f(x)=\lg(x^{2012}+2012x^2+1)\\ f(0)=\lg(0^{2012}+2012\cdot0^2+1)=\lg1=0\Rightarrow\\ 0\in G_f [/tex]