To determine [tex]\( f(2) \)[/tex] for the function [tex]\( f(x) = 4x - 12 \)[/tex], we need to substitute [tex]\( x = 2 \)[/tex] into the function and evaluate it.
Step-by-step solution:
1. Start with the given function:
[tex]\[
f(x) = 4x - 12
\][/tex]
2. Substitute [tex]\( x = 2 \)[/tex] into the function:
[tex]\[
f(2) = 4(2) - 12
\][/tex]
3. Perform the multiplication first:
[tex]\[
f(2) = 8 - 12
\][/tex]
4. Lastly, perform the subtraction:
[tex]\[
f(2) = -4
\][/tex]
So, the value of [tex]\( f(2) \)[/tex] is [tex]\( -4 \)[/tex].
Therefore, the correct answer is:
D. -4
