Are these functions inverses of each other?Be sure to explain how you know they are inverse or why they are not. Show all work necessary.

Yes. f(x) and g(x) are inverses of one another

Step-by-step explanation:

In step 1 we just copied the original function.

In step 2 we substituted y for f(x).

in step 3 we switched the variables.

in step 4 we added 2 to both sides.

in step 5 we multiply both sides by -2

In step 6 we solved for y.

In step 7 is just a fancy way of saying the inverse function f(x) = -2x - 4