Final answer:
To calculate f(-3) for the function F(x) = 4x^2 - 3x + 12, substitute x with -3, simplify, and the result is 57, which is option A.
Step-by-step explanation:
To find f(-3) for the function F(x) = 4x^2 - 3x + 12, we need to substitute x with -3:
- F(-3) = 4(-3)^2 - 3(-3) + 12
- F(-3) = 4(9) + 9 + 12
- F(-3) = 36 + 9 + 12
- F(-3) = 57
Therefore, the value of f(-3) is 57, which corresponds to option A.