Since g(h(x))=h(g(x))= x, hence functions h and g are inverses of each other
Given the functions expressed as:
In order to check whether they are inverses of each other, we need to show that h(g(x)) = g(h(x))
Get the composite function h(g(x))
Get the composite function g(h(x))
Since g(h(x))=h(g(x))= x, hence functions h and g are inverses of each other
Learn more on inverse functions here; brainly.com/question/14391067