To find the value of [tex]\( f(38) \)[/tex] given the function rule [tex]\( f(x) = \frac{-38}{x} + 9 \)[/tex], follow these steps:
1. Substitute [tex]\( x = 38 \)[/tex] into the function:
[tex]\[
f(38) = \frac{-38}{38} + 9
\][/tex]
2. Simplify the fraction:
[tex]\[
\frac{-38}{38} = -1
\][/tex]
3. Add the simplified fraction to 9:
[tex]\[
-1 + 9 = 8
\][/tex]
Therefore, the value of [tex]\( f(38) \)[/tex] is:
[tex]\[
f(38) = 8
\][/tex]
