To determine the value of [tex]\( n(-8) \)[/tex] for the function [tex]\( n(x) = \frac{x}{2} + 1 \)[/tex], follow these steps:
1. Identify the function: [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. Simplify the expression within the function:
[tex]\[
\frac{-8}{2} = -4
\][/tex]
4. Add 1 to the result:
[tex]\[
-4 + 1 = -3
\][/tex]
Therefore, the value of [tex]\( n(-8) \)[/tex] is:
[tex]\[
-3
\][/tex]
So, the correct answer is:
[tex]\[
\boxed{-3}
\][/tex]
