To solve for [tex]\( f(x) \)[/tex] when [tex]\( x = 10 \)[/tex] using the given function [tex]\( f(x) = \frac{x}{2} + 8 \)[/tex]:
1. First, identify the function given:
[tex]\[
f(x) = \frac{x}{2} + 8
\][/tex]
2. Substitute [tex]\( x = 10 \)[/tex] into the function:
[tex]\[
f(10) = \frac{10}{2} + 8
\][/tex]
3. Perform the division in the first term:
[tex]\[
\frac{10}{2} = 5
\][/tex]
4. Add the result to 8:
[tex]\[
5 + 8 = 13
\][/tex]
Therefore, [tex]\( f(10) = 13 \)[/tex].
The correct answer is:
[tex]\[
\boxed{13}
\][/tex]