To find the value of [tex]\( f(x) \)[/tex] when [tex]\( x = 10 \)[/tex] for the function [tex]\( f(x) = \frac{x}{2} + 8 \)[/tex], follow these steps:
1. Start by substituting [tex]\( x = 10 \)[/tex] into the function. The function is given as:
[tex]\[
f(x) = \frac{x}{2} + 8
\][/tex]
2. Substitute [tex]\( 10 \)[/tex] for [tex]\( x \)[/tex]:
[tex]\[
f(10) = \frac{10}{2} + 8
\][/tex]
3. Simplify the expression inside the function. First, perform the division:
[tex]\[
\frac{10}{2} = 5
\][/tex]
4. Then, add 8 to the result of the division:
[tex]\[
5 + 8 = 13
\][/tex]
Therefore, the value of [tex]\( f(10) \)[/tex] is [tex]\( 13 \)[/tex]. The correct answer is:
[tex]\[
\boxed{13}
\][/tex]
