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If [tex][tex]$f(x) = \frac{x}{2} + 8$[/tex][/tex], what is [tex][tex]$f(x)$[/tex][/tex] when [tex][tex]$x = 10$[/tex][/tex]?

A. 4
B. 9
C. 13
D. 36

Sagot :

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]