Inverse Functions
Inverse Function Graph
Example 1
Let f(x) = x3 + 2. Then f(2) = 10 and the point (2,10) is on the graph of f. The inverse of f must take 10 back to 2, i.e. f -1(10) = 2, so the point (10,2) is on the graph of f -1. The point (10,2) is the reflection over the line y = x of the point (2,10). The same argument can be made for all points on the graphs of f and f -1 . Therefore, the functions are inverses.
The graph of f -1 is the reflection over the line y = x of the graph of f.
