If and are inverses, then
Creating Inverse Functions
We know that when a function is composed into its inverse the result is just . How do we create inverse functions though?
Step 1: Change into a
Step 2: Switch and
Step 3: Solve for . You should get
Step 4: replace with
Example: Find the inverse of
Graphs of Inverse Functions}
Graphs of inverse functions are always reflections over the line (yes, the same that’s a solution when we find they’re inverses).
Another way of saying this is that if is a point
That’s another way of saying: switch the and .
The values of the points are reversed. There is also a reflection over the line