To determine the value of the function [tex]\( n(x) = \frac{x}{2} + 1 \)[/tex] when [tex]\( x = -8 \)[/tex]:
1. Start with the function definition:
[tex]\[
n(x) = \frac{x}{2} + 1
\][/tex]
2. Substitute [tex]\( x = -8 \)[/tex] into the function:
[tex]\[
n(-8) = \frac{-8}{2} + 1
\][/tex]
3. Perform the division inside the function:
[tex]\[
\frac{-8}{2} = -4
\][/tex]
4. Now add 1 to the result of the division:
[tex]\[
-4 + 1 = -3
\][/tex]
Therefore, the value of [tex]\( n(-8) \)[/tex] is [tex]\(-3\)[/tex].
The correct choice among the given options is [tex]\(-3\)[/tex].
