By starting out with a function, you know it passes the vertical line test by definition. However, for its inverse to be a function, it also has to pass the horizontal line test to insure the one-to-one …

Learn what the inverse of a function is, and how to evaluate inverses of functions that are given in tables or graphs.

Learn how to find the inverse of a function and how to graph it in this video. The inverse function swaps the x and y values of the original function, and the graph of this inverse function is a …

Practice Up next for you: Model with function combination Get 3 of 4 questions to level up!

Read values of an inverse function from a graph or a table of the original function.

Now, just out of interest, let's graph the inverse function and see how it might relate to this one right over here. So if you look at it, it actually looks fairly identical.

Sal explains what inverse functions are. Then he explains how to algebraically find the inverse of a function and looks at the graphical relationship between inverse functions.

You'll learn how to find and represent inverse functions, restrict domains to ensure functionality, and use compositions to verify inverses. Unit guides are here!

To find the inverse of a function, you must not only invert the operations but also the steps in which you build the original function. To start, let's list the steps to build the original g (x) function:

Practice evaluating the inverse function of a function that is given either as a formula, or as a graph, or as a table of values.