Certainly! We need to find the value of the function [tex]\( F(x) = x^2 - 3x \)[/tex] when [tex]\( x = -8 \)[/tex].
Step-by-step, the process is as follows:
1. Substitute [tex]\( x \)[/tex] with -8 in the function:
[tex]\[
F(-8) = (-8)^2 - 3(-8)
\][/tex]
2. Calculate [tex]\((-8)^2\)[/tex]:
[tex]\[
(-8)^2 = 64
\][/tex]
3. Calculate [tex]\(-3(-8)\)[/tex]:
[tex]\[
-3(-8) = 24
\][/tex]
4. Add the results from steps 2 and 3:
[tex]\[
F(-8) = 64 + 24
\][/tex]
[tex]\[
F(-8) = 88
\][/tex]
So, [tex]\( F(-8) = 88 \)[/tex].
