Question

Determinati punctele de intersectie ale graficului f:R→R, f(x), f(x)=3^x+1 -1 cu axele de coordonate.

Answer 1

$f:R->R \\ f(x)=3^{x+1}-1\\ \\ G_f~\cap~O_x~\Leftrightarrow~f(x)=0~\Leftrightarrow~3^{x+1}-1=0\\ \\ 3^{x+1}=1~\Leftrightarrow~x=-1.\\ \\ Adica~punctul~A(-1,0).\\ \\ G_f~\cap~O_y~\Leftrightarrow~f(0)=3-1=2~\Leftrightarrow~Punctul~B(0,2).$