Math Tutorial 16.6 - Inverse Functions

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There are 6 lessons in this math tutorial covering Inverse Functions. The tutorial starts with an introduction to Inverse Functions and is then followed with a list of the separate lessons, the tutorial is designed to be read in order but you can skip to a specific lesson or return to recover a specific math lesson as required to build your math knowledge of Inverse Functions. you can access all the lessons from this tutorial below.

In this Math tutorial, you will learn:

What are inverse functions?
What are the conditions for a function to have an inverse?
How to find the inverse of a function?
How to find the value of an inverse function for a given value of the independent variable?
How to use the graph method for finding the inverse of a given function?
What do a function and its inverse have in common graphically?
How to identify the sections where a function has an inverse?
Which functions have an inverse and which not?

Introduction

Do you remember what the inverse of a number is? For example, what is the inverse of 6? What is the condition for two numbers to be the inverse of each other?

In tutorial 16.4, we have briefly mentioned the definition of the inverse function when we explained the properties of composite functions (property no. 4). In that tutorial, we explained that two functions f(x) and g(x) are the inverses of each other if their product is a power of the independent variable x.

In this tutorial, we will explain this concept in greater detail. This will include wider application and examples of inverse functions with a comprehensive explanation of their meaning and properties.

Please select a specific "Inverse Functions" lesson from the table below, review the video tutorial, print the revision notes or use the practice question to improve your knowledge of this math topic.

Functions Learning Material
Tutorial ID	Math Tutorial Title	Revision Notes	Revision Questions
16.6	Inverse Functions
Lesson ID	Math Lesson Title	Lesson	Video Lesson
16.6.1	Definition of Inverse Function
16.6.2	Condition for a Function to have an Inverse
16.6.3	Methods used for Obtaining the Inverse of a Function
16.6.4	Graph Method for Finding the Inverse of a Function
16.6.5	Sections where a Function has an Inverse although it may not be One-to-One
16.6.6	Other Functions that have an Inverse

Whats next?

Enjoy the "Inverse Functions" math tutorial? People who liked the "Inverse Functions" tutorial found the following resources useful:

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Functions Revision Notes: Inverse Functions. Print the notes so you can revise the key points covered in the math tutorial for Inverse Functions
Functions Practice Questions: Inverse Functions. Test and improve your knowledge of Inverse Functions with example questins and answers
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Continuing learning functions - read our next math tutorial: Even and Odd Functions

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