Question

Given the functions f and g below, find f(g(3)). Do not include f(g(3)) = in your answer.

f(x) = -4x - 6
g(x) = x - 3

a) -21
b) -15
c) 15
d) 21

Answer 1

The correct answer is not listed in the options provided; by evaluating g(3) and then applying it to f(x), we can determine that f(g(3)) equals -6, which is not one of the options.

Step-by-step explanation:

To find f(g(3)), we first need to evaluate g(3) and then use that result as the input for the function f.

Given the function g(x) = x - 3, let's evaluate g(3):

• g(3) = 3 - 3 = 0

Now, we have the value of g(3) which is 0. Next, we plug this into the function f(x) = -4x - 6 to evaluate f(g(3)):

• f(g(3)) = f(0) = -4(0) - 6 = -6

The correct answer is not given in the options a) -21, b) -15, c) 15, d) 21. However, since this might be a typo in the options, the calculation shows that the answer is -6.