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 …

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.

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

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 …

Inverse functions graphs & tables Learn Reading inverse values from a graph Reading inverse values from a table

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:

In general, if you know the trig ratio but not the angle, you can use the corresponding inverse trig function to find the angle. This is expressed mathematically in the statements below.

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.

Plotting the graphs of inverse trigonometric functions can seem unintuitive at first. But don’t worry! All you need is the graph of the sine function and an inquisitive mind, and together, we'll …