Answer :

To solve the function [tex]\( f(x) = \frac{x}{2} + 8 \)[/tex] for [tex]\( x = 10 \)[/tex], follow these steps:

1. Identify the function and the given value of [tex]\( x \)[/tex]:
The function is [tex]\( f(x) = \frac{x}{2} + 8 \)[/tex].
The given value is [tex]\( x = 10 \)[/tex].

2. Substitute [tex]\( x = 10 \)[/tex] into the function:
[tex]\[ f(10) = \frac{10}{2} + 8 \][/tex]

3. Perform the division:
[tex]\[ \frac{10}{2} = 5 \][/tex]

4. Add the result to 8:
[tex]\[ 5 + 8 = 13 \][/tex]

So, [tex]\( f(10) = 13 \)[/tex].

Therefore, the value of [tex]\( f(x) \)[/tex] when [tex]\( x = 10 \)[/tex] is [tex]\(\boxed{13}\)[/tex].