Objectives: In this tutorial, we define the inverse of a function. We
discuss three different ways of determining whether a function has an inverse.
Some examples are discussed.
After working through these materials, the student should be able
to recognize from the graph of a function whether the function has an inverse;
to recognize from the graph of a function whether the function is one to one;
to graph the inverse of a function;
to algebraically find the inverse of a function;
to algebraically show that a function is not one to one.
Modules:
Definition. Let f be a function with domain D and range
R. A function g with domain R and range D is an inverse function for f if, for all x in D,