# The Reciprocal Function and its Inverse

- Author:
- Eleven Bottles

Use the sliders to change the coefficients and constant in the reciprocal function.
The blue graph is the function; the red graph is its inverse.
Try to find functions that are self-inverse, i.e. the red graph and blue graph will be the same.
When you find one, make a note of the values of a, b, c and d.
Try to find more examples, recording the values on the sliders for each one.

What is the condition for a reciprocal function to be self-inverse?
Prove it!