Hello,

if

h(x) = x³

f(x) = x-1

g(x) = 2x

Then you get the required function:

1. Plug in the term of f(x) into h:

2. Now plug in this term into g:

To calculate the equation of the inverse function you change the x and y-values:

. Now solve for y and you'll get:

1. The graph of the inverse function is the inflection of the graph of the function at the line y = x

2. Therefore the graph of the inverse function and the original function intersect on the line y = x (if there are any intersections, of course)

3. The zeros of the original function are the y-intercepts of the inverse function; The y-intercepts of the original function are the zeros of the inverse function.