Answer :

To find \( f(2) \) for the function \( f(x) = 3x - 12 \), follow these steps:

1. Identify the given function and the value to substitute: The function provided is \( f(x) = 3x - 12 \). We need to find \( f(2) \).

2. Substitute \( x = 2 \) into the function: Replace \( x \) with 2 in the given function.
[tex]\[ f(2) = 3(2) - 12 \][/tex]

3. Simplify the expression:
[tex]\[ f(2) = 6 - 12 \][/tex]

4. Calculate the result:
[tex]\[ 6 - 12 = -6 \][/tex]

So, \( f(2) = -6 \).

Thus, the correct answer is [tex]\( \boxed{-6} \)[/tex].