A. Use composition to prove whether or not the functions are inverses of each other. B. Express the domain of the compositions using interval notation.

Step-by-step explanation:

A). If a function 'f' is inverse of another function 'g',

Then f[g(x)] = x = g[f(x)]

In this question the given functions are,

f(x) = and g(x) =

Then, f[g(x)] =

                    =

                    = x

Similarly, g[f(x)] =

                         =

                         = x

Therefore, Both the functions are inverse of each other.

B). Domain of the compositions of these functions will be a set of all real numbers, (-∞, ∞)