Answer :

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]