Question

Explain how to use ordered pairs of points f(x) and g(x) to determine if f(x) and g(x) are inverses of each other.

Answer 1

Whatever coordinates you have for f(x). Just switch the x coordinate with the y coordinate and thats the relation between f(x) and g(x) because they are inverses. 

if on f(x) you have (2,4) then on g(x) you would have (4,2).