Question

If f(x) = -(x + 1)^2 + 3 and g(x) = -5x - 1, find f(3) - g(-1).

A) -6
B) 0
C) 6
D) -12

Answer 1

After evaluating the given functions for the values of 3 and -1, the result comes out to be -17. Therefore, f(3) - g(-1) = -13 - 4 = -17, which is not one of the provided answer choices.

Step-by-step explanation:

To find f(3) - g(-1), we need to evaluate each function separately and then subtract the value of g(-1) from the value of f(3).

First, let's evaluate f(3):

• f(x) = -(x + 1)^2 + 3
• f(3) = -((3 + 1)^2) + 3
• f(3) = -(4^2) + 3 = -16 + 3 = -13

Next, let's evaluate g(-1):

• g(x) = -5x - 1
• g(-1) = -5(-1) - 1
• g(-1) = 5 - 1 = 4

Now, we subtract g(-1) from f(3):

f(3) - g(-1) = -13 - 4 = -17

Thus, the correct answer is None of the above.