Given the formulas of two functions, compose the functions and determine whether they are inverses of each other.

Problem

g, left parenthesis, x, right parenthesis, equals, left parenthesis, start fraction, x, minus, 1, divided by, 2, end fraction, right parenthesis, start superscript, 3, end superscript and
Write simplified expressions for g, left parenthesis, h, left parenthesis, x, right parenthesis, right parenthesis and h, left parenthesis, g, left parenthesis, x, right parenthesis, right parenthesis in terms of x.
g, left parenthesis, h, left parenthesis, x, right parenthesis, right parenthesis, equals
h, left parenthesis, g, left parenthesis, x, right parenthesis, right parenthesis, equals
Are functions g and h inverses?
Please choose from one of the following options.