Question

Suppose that the functions g and f are defined as follows.

g(x)=x-5
f(x)=(x+2)(x+4)
(a) Find (g/f) (-5)
(b) Find all values that are NOT in the domain of
f
If there is more than one value, separate them with commas.

Answer 1

The answer to (a) is 32.

Therefore, we need to find the values of x that satisfy the following equations:

x + 2 = 0

x + 4 = 0

Solving these equations, we get

x = -2

x = -4

These are the only values that are NOT in the domain of f, so the answer to (b) is -2, -4.