Question

If f(x) = -8x + 8 and g(x) = √x-9, what is (f ◦ g)(18)?

A) 14
B) 12
C) 18
D) 16

Answer 1

After evaluating g(18) as 3 and substituting it into f(x), the result is (f ∘ g)(18) = -16. However, this result is not one of the provided options, indicating there might be an error in the question or in the available choices.

Step-by-step explanation:

To find (f ∘ g)(18), we first need to evaluate g(18) and then use this result as the input for the function f(x).

First, let's evaluate g(18):

1. g(18) = √(18 - 9)
2. g(18) = √9
3. g(18) = 3

Now that we have g(18) = 3, we can find f(g(18)), which means we need to plug 3 into the function f(x):

1. f(g(18)) = f(3) = -8(3) + 8
2. f(g(18)) = -24 + 8
3. f(g(18)) = -16

However, none of the provided options match our result.

The student should know that there may have been a mistake as -16 is not an option.