Answer:
53
Explanation:
To evaluate f(-4), we need to substitute -4 into the function f(x) = 3x^2 - 4x - 11.
1. Replace x with -4 in the function:
f(-4) = 3(-4)^2 - 4(-4) - 11
2. Simplify the expression within the parentheses:
f(-4) = 3(16) + 16 - 11
3. Evaluate the exponent:
f(-4) = 48 + 16 - 11
4. Perform the addition and subtraction:
f(-4) = 53
Therefore, evaluating f(-4) in the function f(x) = 3x^2 - 4x - 11 gives a result of 53.