Inverse of a Function

Explore the graphical and numerical relationship between a function and its inverse.
Enter any function for f(x). Move the slider between f(x) and f-inverse(x) to view the graph flipping over the line y = x. Toggle the checkboxes in order to hide/show either curve. When the inverse is displayed, slide point A along the graph of f(x), observing how its coordinates relate to the coordinates of point B (which slides along the f-inverse(x) curve).