Let's solve this step-by-step:
We are given the function [tex]\( f(x) \)[/tex] defined as:
[tex]\[ f(x) = \frac{x}{2} + 8 \][/tex]
We need to find [tex]\( f(x) \)[/tex] when [tex]\( x = 10 \)[/tex].
1. Substitute [tex]\( x = 10 \)[/tex] into the function:
[tex]\[ f(10) = \frac{10}{2} + 8 \][/tex]
2. Perform the division inside the function:
[tex]\[ \frac{10}{2} = 5 \][/tex]
3. Add the result of the division to 8:
[tex]\[ 5 + 8 = 13 \][/tex]
Thus, [tex]\( f(10) = 13 \)[/tex].
Therefore, the value of [tex]\( f(x) \)[/tex] when [tex]\( x = 10 \)[/tex] is [tex]\( 13 \)[/tex].
