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  1. Math is Fun
    https://www.mathsisfun.com › sets › function-inverse.html

    Inverse Functions - Math is Fun

    • Learn what inverse functions are, how to find them and how to graph them. See examples of inverse functions for common and more complex functions, and how to restrict the domain to make them bijective.… See more

    Back to Where We Started

    The cool thing about the inverse is that it should give us back the original value: When the function … See more

    Math is Fun
    Inverses of Common Functions

    It has been easy so far, because we know the inverse of Multiply is Divide, and the inverse of Add is Subtract, but what about other functions? Here is a list to help you: (Note: you … See more

    Math is Fun
    No inverse?

    Let us see graphically what is going on here: To be able to have an inverse we need unique values. Just think ... if there are two or more x-values for one y-value, how do we … See more

    Math is Fun
    Domain and Range

    So what is all this talk about "Restricting the Domain"? In its simplest form the domain is all the values that go into a function (and the rangeis all the values that come out). As it stand… See more

    Math is Fun
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    Table of Contents
    Back to Where We Started
    Inverses of Common Functions
    No inverse?
    Domain and Range
    What is a function whose inverse exist?
     

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    Functions 4 Inverse-Functions | PDF | Multiplication | Function (Mathematics)
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    An inverse function is a function that undoes the action of another function 1 2. Examples of inverse functions include:

    1. Addition and subtraction: Addition is the inverse of subtraction, and vice versa.
    2. Multiplication and division: Multiplication is the inverse of division, and vice versa.
    3. Function f(x) = 2x + 3 and its inverse function f-1(x) = (x - 3)/2 3.
    4. Functions y = 4x and y = 1/4x are inverses of each other 4.
    5. Given two one-to-one functions f(x) and g(x), if (f ∘ g)(x) = x AND (g ∘ f)(x) = x, then g(x) is the inverse of f(x) 5.
    Based on 5 sources:
    The Story of Mathematics
    https://www.storyofmathematics.com/inverse-functions/
    1
    Inverse of a Function – Explanation & Examples
    Neurochispas
    https://en.neurochispas.com/algebra/examples-of-inverse-functions/
    2
    Inverse Functions – Example and Practice Problems
    3
    Cuemath
    4
    OpenStax
    5
    Lamar University
    Cuemath
    https://www.cuemath.com/algebra/inverse-functions/
    3
    Inverse Function - Definition, Formula, Graph, Examples - Cuemath
    OpenStax
    https://openstax.org/books/college-algebra/pages/3-7-inverse-functions
    4
    3.7 Inverse Functions - College Algebra - OpenStax
    Lamar University
    https://tutorial.math.lamar.edu/Classes/Alg/InverseFunctions.aspx
    5
    Algebra - Inverse Functions - Pauls Online Math Notes
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  3. People also ask
    What is an example of a inverse function?
    E.g. Inverse functions can be used to solve equations or find missing xx values on graphs if we know the yy value. Inverse functions are also used when finding an unknown angle in a triangle using trigonometry. E.g.

    Inverse Functions - GCSE Maths - Steps, Examples & Worksheet

    thirdspacelearning.com
    How to find the inverse of a function?
    We will be using the following 3-step process that can be used to find the inverse of any function: STEP ONE: Rewrite f (x)= as y= If the function that you want to find the inverse of is not already expressed in y= form, simply replace f (x)= with y= as follows (since f (x) and y both mean the same thing: the output of the function):

    Finding the Inverse of a Function: Complete Guide - Mashup Math

    mashupmath.com
    What is a function whose inverse exist?
    Also, the function whose inverse exist is called invertible functions. For a function to have an inverse, the necessary and sufficient condition is Function must be Bijective (One-One and Onto). For example, let’s check the following graph for bijection.

    Inverse Functions | Definitions, Graphs & Solved Examples - GeeksforGe…

    geeksforgeeks.org
    What is the inverse function of a function f?
    Given a function f with domain D and range R, its inverse function (if it exists) is the function f − 1 with domain R and range D such that f − 1(y) = x if and only if f(x) = y. In other words, for a function f and its inverse f − 1, for all x in D and for all y in R.

    1.4: Inverse Functions - Mathematics LibreTexts

    math.libretexts.org
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  4. Cuemath
    https://www.cuemath.com › algebra › inverse-functions

    Inverse Function - Definition, Formula, Graph, Examples - Cuemath

     
  5. Mathematics LibreTexts
    https://math.libretexts.org › Bookshelves › Calculus...

    1.4: Inverse Functions - Mathematics LibreTexts

  6. BYJU'S
    https://byjus.com › maths › inverse-fun…

    Inverse Function (Definition and Examples) - BYJU'S

    WEBFeb 26, 2019 · Learn what inverse functions are, how to find them and their properties. Explore the graphs, types and examples of inverse functions, …

    • Estimated Reading Time: 6 mins
    • Department of Mathematics at the University of Toronto
      https://www.math.toronto.edu › ...

      Functions and Their Inverses - Worked Examples

      WEBLearn how to find the inverse of a function using the definition, the cancellation property, and the graphical method. See examples of inverse functions of linear, quadratic, and polynomial forms.

    • SplashLearn
      https://www.splashlearn.com › ... › inve…

      What Is Inverse Function? Definition, Formula, Graph, …

      WEBLearn what an inverse function is, how to find it, and how to graph it. See the types of inverse functions, such as trigonometric, rational, and logarithmic, with examples and practice problems.

    • Mathwarehouse.com
      https://www.mathwarehouse.com › alg…

      Inverse of a function in math. Tutorial explaining …

      WEBLearn how to find the inverse of a function by switching the domain and range, and solving algebraically. See examples, practice problems, and a free worksheet with answer key.

    • OpenStax
      https://openstax.org › books › pages

      1.4 Inverse Functions - Calculus Volume 1 - OpenStax

    • Mathematics LibreTexts
      https://math.libretexts.org › Bookshelves › Algebra

      3.7: Inverse Functions - Mathematics LibreTexts

    • Brilliant
      https://brilliant.org › wiki › functions-inv…

      Inverse Functions | Brilliant Math & Science Wiki

      WEBLearn how to define, find, and graph the inverse of a function. The inverse of a function is the "reversal" of another function that swaps input and output. See examples, problems, and advanced topics.

    • Pauls Online Math Notes
      https://tutorial.math.lamar.edu › Classe…

      Calculus I - Inverse Functions - Pauls Online Math Notes

      WEBNov 16, 2022 · Learn how to identify and define inverse functions, which are pairs of one-to-one functions that undo each other's effect. See examples of inverse functions and their properties, and how to use function …

    • Mashup Math
      https://www.mashupmath.com › blog › inverse-of-a-function-tutorial

      Finding the Inverse of a Function: Complete Guide - Mashup Math

    • OpenStax
      https://openstax.org › books › college-algebra › pages

      3.7 Inverse Functions - College Algebra - OpenStax

    • The Story of Mathematics
      https://www.storyofmathematics.com › inverse-functions

      Inverse of a Function – Explanation & Examples

    • Math.net
      https://www.math.net › inverse-function

      Inverse function - Math.net

    • Third Space Learning
      https://thirdspacelearning.com › ... › inverse-functions

      Inverse Functions - GCSE Maths - Steps, Examples & Worksheet

    • Mathematics LibreTexts
      https://math.libretexts.org › Bookshelves › Precalculus

      1.8: Inverse Functions - Mathematics LibreTexts

    • Math Insight
      https://mathinsight.org › inverse_function_examples

      Inverse function examples - Math Insight

    • Online Math Help And Learning Resources
      https://www.onlinemathlearning.com › inverse-functions.html

      Inverse Functions (solutions, examples, videos) - Online Math …

    • GeeksForGeeks
      https://www.geeksforgeeks.org › inverse-functions

      Inverse Functions | Definitions, Graphs & Solved Examples

    • Pauls Online Math Notes
      https://tutorial.math.lamar.edu › Classes › Alg › InverseFunctions.as…

      Algebra - Inverse Functions - Pauls Online Math Notes

    • Neurochispas
      https://en.neurochispas.com › algebra › examples-of...

      Inverse Functions – Example and Practice Problems

    • WikiHow
      https://www.wikihow.com › Find-the-Inverse-of-a-Function

      How to Find the Inverse of a Function: 4 Steps (with Pictures)

    • CliffsNotes
      https://www.cliffsnotes.com › study-notes

      Inverse Function (pdf) - CliffsNotes