INSTRUCTORS Carleen Eaton Grant Fraser

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Inverse Functions and Relations

• If you know the graph of f, use the horizontal line test on that graph to determine whether f has an inverse.

• If you know the graphs of f and g, these functions are inverses of each other if and only if their graphs are mirror images across the line y = x.

• Two functions are inverses of each other if and only if both of their compositions are the identity function f(x) = x for all x.

Inverse Functions and Relations

Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.

• Intro 0:00
• Inverse of a Relation 0:24
• Example: Ordered Pairs
• Inverse of a Function 2:15
• Procedure to Construct an Inverse Function 4:28
• Example: Inverse Function
• Example: Inverse Function 2
• Inverses and Compositions 8:41
• Lecture Example 1 9:59
• Lecture Example 2 10:45