Question

Given f (x) = x + 1 and g(x) = x², what is (g * f)(x)?

Answer 1

x³+x²

Step-by-step explanation:

Given f(x) and g(x) defined below:

`\begin{gathered} f(x)=x+1 \\ g(x)=x^2 \end{gathered}`

We want to calculate the composite function (g*f)(x):

`\begin{gathered} (g\cdot f)(x)=g(x)* f(x) \\ =x^2(x+1) \\ =x^3+x^2 \end{gathered}`