Certainly! Let's solve the given problem step-by-step:
Given the function [tex]\( f(x) = 6x - 4 \)[/tex], we need to determine the value of [tex]\( f(x) \)[/tex] when [tex]\( x = 8 \)[/tex].
1. Start by substituting [tex]\( x = 8 \)[/tex] into the function [tex]\( f(x) \)[/tex]:
[tex]\[
f(8) = 6(8) - 4
\][/tex]
2. Calculate the value inside the parenthesis first. Multiplying 6 by 8:
[tex]\[
6 \times 8 = 48
\][/tex]
3. Subtract 4 from the result obtained in step 2:
[tex]\[
48 - 4 = 44
\][/tex]
So, [tex]\( f(8) = 44 \)[/tex].
Therefore, the correct answer is:
[tex]\[
44
\][/tex]