Inverse Functions


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question 1 of 3

Which of the following is the inverse function of f(x) = 2x - 3?

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1. How do you determine whether a function is an inverse of another function?

2. What is the inverse function of f(x) = 3(x - 2)3?

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About This Quiz & Worksheet

Inverse functions make solving algebraic equations possible, and this quiz/worksheet combination will help you test your understanding of this vital process. The quiz questions will ensure that you know how to determine the inverse function of an equation and the general properties of an inverse function.

Quiz & Worksheet Goals

In these assessments, you'll be tested on:

  • Providing the inverse function of a function
  • How to determine whether a function is an inverse
  • Identifying the composite of a function and its inverse
  • The characteristics of inverse functions

Skills Practiced

This quiz and worksheet will test your skills in the following areas:

  • Reading comprehension - ensure that you draw the most important information from the related lesson on inverse functions
  • Making connections - use your understanding of algebra
  • Problem solving - use your acquired knowledge to solve practice problems involving inverse functions
  • Information recall - access the knowledge you've gained regarding inverse functions
  • Knowledge application - use your knowledge to answer questions about inverse functions

Additional Learning

To learn more about these functions, review the accompanying lesson Inverse Functions. This lesson covers the following objectives:

  • Define inverse functions
  • Understand how inverse functions are used to solve algebraic equations
  • Describe how to confirm inverse functions
  • Understand how to perform the horizontal line test