To find [tex]\( f(5) \)[/tex] for the function [tex]\( f(x) = 8x - 3 \)[/tex], we will substitute [tex]\( x = 5 \)[/tex] into the function. Here are the steps:
1. Start with the given function:
[tex]\[
f(x) = 8x - 3
\][/tex]
2. Substitute [tex]\( x = 5 \)[/tex] into the function:
[tex]\[
f(5) = 8(5) - 3
\][/tex]
3. Perform the multiplication in the expression [tex]\( 8(5) \)[/tex]:
[tex]\[
8 \times 5 = 40
\][/tex]
4. Subtract 3 from the result of the multiplication:
[tex]\[
40 - 3 = 37
\][/tex]
Therefore,
[tex]\[
f(5) = 37
\][/tex]
So the correct answer is:
[tex]\[
\boxed{37}
\][/tex]