Answer:
x³+x²
Explanation:
Given f(x) and g(x) defined below:
[tex]\begin{gathered} f(x)=x+1 \\ g(x)=x^2 \end{gathered}[/tex]We want to calculate the composite function (g*f)(x):
[tex]\begin{gathered} (g\cdot f)(x)=g(x)\times f(x) \\ =x^2(x+1) \\ =x^3+x^2 \end{gathered}[/tex]