Domain and Range of the Inverse Function
To algebraically determine the formula for the inverse of a function y=fx, you switch the roles of y and x to get x=fy and then solve this expression for y, finally getting y=f−1x. Switching the roles of y and x effectively interchanges the roles of the domain and range of fx.
Domain and Range of an Inverse Function
Suppose we have a function fx whose inverse is f−1x. Then the domain of the inverse function f−1x is the range of fx and the range of the inverse function f−1x is the domain of fx.
Illustrating Draw an invertible function on the graph. As you draw, the domain and range of your function will be shown on the x- and y-axes.
Click Clear to start again.
Click Invert to plot the inverse of your function.
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