In Inverse functions and Relations, our instructor first covers inverse of a relation before moving into the inverse of a function. Next are the important steps in constructing an inverse function which include changing f(x) to y, interchanging x and y, solving for y, and writing the inverse f(x) for y. Lastly are inverses and compositions before four video examples test your understanding of the new concepts.
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.