To find [tex]\( f(32) \)[/tex] using the given function rule [tex]\( f(x) = \frac{x}{2} + 12 \)[/tex], follow these steps:
1. Substitute [tex]\( x \)[/tex] with 32:
[tex]\[
f(32) = \frac{32}{2} + 12
\][/tex]
2. Divide 32 by 2:
[tex]\[
\frac{32}{2} = 16
\][/tex]
3. Add 12 to the result:
[tex]\[
16 + 12 = 28
\][/tex]
Therefore, [tex]\( f(32) = 28 \)[/tex].
