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Inverse Functions - Restricted Domain


Videos and lessons to help High School students learn how to find inverse functions.

D. Produce an invertible function from a non-invertible function by restricting the domain.

Common Core: HSF-BF.B.4

Related Topics:
Common Core (Functions)

Common Core for Mathematics

Ex: Restrict the Domain to Make a Function 1 to 1, Then Find the Inverse
This video explains how to restrict the domain of a function to make the function one to one. Then it explains how to determine the inverse function.

Animation: Inverse Function
Illustrates why a function must be one-to-one in order to have an inverse function.

Wolfram - Finding an Inverse
Polynomials that are strictly increasing or strictly decreasing have inverse functions.
A polynomial is one-to-one on its intervals of increase and decrease. A restriction of the polynomial is a new function, with one of those intervals as its domain, whose values agree with the values of the polynomial on that interval. Those functions are one-to-one on those intervals and have inverses. The graphs of a function and its inverse are symmetric in the line y = x. This Demonstration plots the graphs of each restricted function (solid curve) and its inverse (dashed curve) in matching colors.

Inverse functions with restricted domain.

Inverse Functions Restrict the Domain.


Restrict Domain and Find Inverse
Given a function that is not one-to-one, restrict the domain so that the function is one-to-one and find the inverse.

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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