Final answer:
We need to find g(f(2)) given the functions f(x) = 3x – 12 and g(x) = kx + 6, but without the value of k, we cannot compute the exact result for g(f(2)). Therefore, we cannot provide an answer from the given options.
Step-by-step explanation:
The student is asking to find the value of g(f(2)) given the functions f(x) = 3x – 12 and g(x) = kx + 6. To solve this, we first find the value of f(2) by substituting x with 2 in the function f(x). This gives us:
f(2) = 3(2) – 12 = 6 – 12 = -6.
Next, we substitute f(2) into g(x), which gives us:
g(f(2)) = g(-6) = k(-6) + 6.
Since we don't have the value for k, we cannot compute the exact numerical value for g(f(2)). Thus, given the options A, B, C, and D, we need to refuse to answer as more information is required to determine the value of k to provide the correct numerical result.