To find the value of the function [tex]\( f(x) = \frac{x}{2} + 8 \)[/tex] when [tex]\( x = 10 \)[/tex], follow these steps:
1. Identify the value to substitute: We are given [tex]\( x = 10 \)[/tex].
2. Substitute [tex]\( x = 10 \)[/tex] into the function [tex]\( f(x) \)[/tex]:
[tex]\[
f(10) = \frac{10}{2} + 8
\][/tex]
3. Perform the division operation: Divide 10 by 2.
[tex]\[
\frac{10}{2} = 5
\][/tex]
4. Add the result to 8:
[tex]\[
5 + 8 = 13
\][/tex]
Therefore, [tex]\( f(10) = 13 \)[/tex].
So the correct answer is [tex]\( \boxed{13} \)[/tex].