👤

Calculati (f o g )unde f(x)=2x-1 si g(x)=x²+x+1

Răspuns :

[tex]f(x)=2x-1 $ si $ g(x)=x^2+x+1 \\ \\ $(f o g)$ = f\Big(g(x)\Big) =f(x^2+x+1) = 2\cdot(x^2+x+1) - 1 = \\ =2x^2+2x+2-1 = 2x^2+2x+1 \\ \\ \Rightarrow \boxed{$(f o g) $ = 2x^2+2x+1 }[/tex]