To determine the value of [tex]\( f(2) \)[/tex] given the function [tex]\( f(x) = 4x - 12 \)[/tex], we will substitute [tex]\( x \)[/tex] with 2 in the expression:
1. First, write down the function:
[tex]\[
f(x) = 4x - 12
\][/tex]
2. Next, substitute [tex]\( x \)[/tex] with 2:
[tex]\[
f(2) = 4(2) - 12
\][/tex]
3. Now, perform the multiplication:
[tex]\[
f(2) = 8 - 12
\][/tex]
4. Finally, subtract 12 from 8:
[tex]\[
f(2) = -4
\][/tex]
So, the value of [tex]\( f(2) \)[/tex] is [tex]\(-4\)[/tex]. The correct answer is:
[tex]\[
\boxed{-4}
\][/tex]
