Certainly! Let’s go through the solution step by step for finding [tex]\( f(x) \)[/tex] when [tex]\( x = 10 \)[/tex].
Given the function:
[tex]\[ f(x) = \frac{x}{2} + 8 \][/tex]
We need to find [tex]\( f(x) \)[/tex] for [tex]\( x = 10 \)[/tex].
1. Start by substituting [tex]\( x = 10 \)[/tex] into the function:
[tex]\[ f(10) = \frac{10}{2} + 8 \][/tex]
2. Next, calculate the value of [tex]\( \frac{10}{2} \)[/tex]:
[tex]\[ \frac{10}{2} = 5 \][/tex]
3. Now, add 8 to the result obtained in the previous step:
[tex]\[ 5 + 8 = 13 \][/tex]
So, clearly [tex]\( f(10) = 13 \)[/tex].
Therefore, the correct answer is:
[tex]\[ \boxed{13} \][/tex]
