Inverses

Finding Inverses

Recall from earlier lessons, that inverse graphs are reflections across the line y = x. To find the inverse of a power function, switch the x and y and solve for y. To graph the inverse of a power function, switch the x and y-coordinates of the points and plot the results.

Example Find the inverse of the function: y = x2 , then graph both equations.

Step 1. Switch the x and the y.

x = y2

Step 2. Solve for y.

Inverse_ex1

The inverse of Inverse_ex1-2 is Inverse_ex1-3

Step 3. Graph the equations.

Inverse_ex1-4