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].