Question

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

Answer 1

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