Answer :

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].