Question

Evaluate (fog)( -8) without finding an equation for the functiof(x) = 4x - 3g(x) = 9x - 9(fog)(-8)=(Simplify your answer.)

Answer 1

Answer:

(fog)( -8) = -327.

Explanation:

Given the functions, f(x) and g(x):

To evaluate (fog)( -8), first, we rewrite it as follows:

$(f\circ g)(-8)=f\lbrack g(-8)\rbrack_{}$

First, evaluate g(-8).

$\begin{gathered} g(-8)=9(-8)-9 \\ =-72-9 \\ =-81 \end{gathered}$

Next, substitute g(-8):

$\begin{gathered} f\lbrack g(-8)\rbrack=f(-81) \\ f(x)=4x-3 \\ f(-81)=4(-81)-3 \\ =-324-3 \\ =-327 \end{gathered}$

Thus, the value of (fog)( -8) is -327.