The Solution:
Given the functions below:
[tex]\begin{gathered} f(x)=-4x-8 \\ \text{and} \\ g(x)=3x^2+x \end{gathered}[/tex]
We are required to find the value of f(-1)g(2)
So,
[tex]f(-1)\text{ means that we should substitute -1 for x in f(x)}[/tex][tex]f(-1)=-4(-1)-8=4-8=-4[/tex]
Similarly,
g(2) means we should substitute 2 for x in g(x).
[tex]g(2)=3(2)^2+2=3(4)+2=12+2=14[/tex]
Now, we shall multiply f(-1) and g(2) together.
[tex]f(-1)g(2)=f(-1)\times g(2)=-4\times14=-56[/tex]
Therefore, the correct answer is [option C]
