Question

Select the correct answer from each drop down menuThere is options

Answer 1

ANSWER:

$\begin{equation*} 4x^5-16x^3+x^2-4 \end{equation*}$

EXPLANATION:

Given:

$\begin{gathered} f(x)=0.5^2-2 \\ \\ g(x)=8x^3+2 \end{gathered}$

We can go ahead and determine (f * g)(x) as seen below;

$\begin{gathered} (f\cdot g)(x) \\ \\ =f(x)\cdot g(x) \\ \\ =(0.5^2x-2)(8x^3+2) \\ \\ =0.5x^2(8x^3)+0.5x^2(2)-2(8x^3)-2(2) \\ \\ =4x^5+x^2-16x^3-4 \\ \\ =4x^5-16x^3+x^2-4 \end{gathered}$