Certainly! Let's solve the given problem step-by-step.
1. Identify the function and the given value of [tex]\( x \)[/tex]:
The function provided is [tex]\( f(x) = \frac{x}{2} + 8 \)[/tex].
We need to find the value of [tex]\( f(x) \)[/tex] when [tex]\( x = 10 \)[/tex].
2. Substitute the given [tex]\( x \)[/tex] value into the function:
Substitute [tex]\( x = 10 \)[/tex] into the function [tex]\( f(x) \)[/tex].
[tex]\[
f(10) = \frac{10}{2} + 8
\][/tex]
3. Perform the calculations:
First, calculate [tex]\( \frac{10}{2} \)[/tex]:
[tex]\[
\frac{10}{2} = 5
\][/tex]
Now add 8 to the result:
[tex]\[
5 + 8 = 13
\][/tex]
4. Conclusion:
Therefore, [tex]\( f(10) = 13 \)[/tex].
The correct answer is 13.
