Differential Equations For Dummies
Book image
Explore Book Buy On Amazon

You can tell that two functions are inverse functions when each one undoes what the other does. When you graph inverse functions, each is a mirror image of the other. Here are some examples of inverse functions:


You can write all of this in one step as:


If you write this in one step, you get:


Don’t confuse the superscript –1 in a function with exponent –1.


When you graph inverse functions, each is the mirror image of the other, reflected over the line
y = x.


These functions are graphed below:


If you rotate the graph in the figure counterclockwise so that the line y = x is vertical, you can easily see that these functions are mirror images of each other. One consequence of this symmetry is that if a point like (2, 4) is on one of the functions, then the point (4, 2) will be on the other.


About This Article

This article can be found in the category: