Question

Find (f/g)(−2) where f(x)=x−9 and g(x)=(x−4)(x+5).

(f/g)(−2) where
g(x)=(x−4)(x+5).
Find all values that are not in the domain of f/g, where
f(x)=x−9 and
g(x)=(x−4)(x+5).

These questions are related to the composition of functions and the domain of a composite function. The answers are provided in the previous response.

Answer 1

To find (f/g)(-2), substitute -2 for x in f(x), substitute -2 for x in g(x), and divide the resulting values.

Step-by-step explanation:

To find (f/g)(-2), we need to substitute -2 for x in the function f(x) = x - 9 and then divide by the function g(x) = (x - 4)(x + 5).

First, substitute -2 for x in f(x):
f(-2) = (-2) - 9
f(-2) = -11

Next, substitute -2 for x in g(x) and then find the value:
g(-2) = ((-2) - 4)((-2) + 5)
g(-2) = (-6)(3)
g(-2) = -18

Finally, divide the value of f(-2) by the value of g(-2):
(f/g)(-2) = (-11) / (-18)
(f/g)(-2) = 11/18