To find [tex]\( f(2) \)[/tex] for the function [tex]\( f(x) = 3x - 12 \)[/tex], you need to substitute [tex]\( x = 2 \)[/tex] into the function. Here’s the step-by-step process:
1. Start with the given function:
[tex]\[
f(x) = 3x - 12
\][/tex]
2. Substitute [tex]\( x = 2 \)[/tex] into the function:
[tex]\[
f(2) = 3(2) - 12
\][/tex]
3. Perform the multiplication in the equation:
[tex]\[
3 \cdot 2 = 6
\][/tex]
So the equation now looks like:
[tex]\[
f(2) = 6 - 12
\][/tex]
4. Finally, subtract 12 from 6:
[tex]\[
6 - 12 = -6
\][/tex]
Therefore, the value of [tex]\( f(2) \)[/tex] is [tex]\(-6\)[/tex].
The correct answer is:
A. -6
