Khan Academy
Khan Academy: Linear Algebra: Introduction to the Inverse of a Function
Video first reviews what a function is. Explains what the identity function is and uses it to define what makes a function invertible. Shows that the inverse will be unique. This video also appears in the strand Algebra: Functions. [18:53]
Khan Academy
Khan Academy: Linear Algebra: Relating Invertibility to Onto and One to One
Video first reviews that a function is invertible if and only if there is a unique solution to f(x) = y for any y. Extends this to show that a function is invertible if and only if it is surjective (onto) and injective (one-to-one). [6:31]
Khan Academy
Khan Academy: Linear Algebra: Invertibility Implies a Unique Solution to F(x)=y
Video first reviews what it means for a function to be invertible. Shows that if a function is invertible then there is a unique solution to f(x) = y. Also shows that if there is a unique solution to the equation f(x) = y for all y then...
Khan Academy
Khan Academy: Pre Calculus: Introduction to Function Inverses
An instructional video explaining the concept of function inverses. A linear function is given and a diagram is drawn to show the mapping of some elements of the domain to the corresponding elements in the range. The inverse of the...
Khan Academy
Khan Academy: Pre Calculus: Function Inverses Example 2
The second in a series of videos on function inverses. This video goes through an example for finding the inverse of a quadratic function. The need is discussed for restraints on the domain of the original function in order for the...
Khan Academy
Khan Academy: Pre Calculus: Function Inverses Example 3
The final segment in the Khan Academy's series on function inverses. Similar to the previous video, this segment does another example for finding the inverse of a quadratic function. Again the instructor explains the need for restraints...
Khan Academy
Khan Academy: Pre Calculus: Function Inverse Example 1
This video goes through two examples of how to find the inverse of a linear function. Both the function and its inverse are graphed on the same coordinate axis where it is shown that they are a reflection of each other over the line y=x....
Sophia Learning
Sophia: Finding the Inverse of a Function: Lesson 9
This lesson will describe how to find the inverse of a function by solving for x in terms of y and then switching x and y. It is 9 of 12 in the series titled "Finding the Inverse of a Function."
Khan Academy
Khan Academy: Relating Invertibility to Being Onto and One to One
Relating invertibility to being onto (surjective) and one-to-one (injective)
PatrickJMT
Patrick Jmt: Inverse Functions: The Basics
All of the fundamental ideas of inverse functions are discussed in this tutorial. What exactly is an inverse function conceptually? Which functions have inverses? How do I graph inverse functions? What are the other basic relationships?...
Other
Mathispower4u: Ex: Function and Inverse Function Values Using a Graph
This video explains how to determine function values and inverse function values using the graph of a function. [4:23]
Sophia Learning
Sophia: Domain and Range of Inverse Functions: Lesson 2
The domains and ranges of the six inverse trigonometric functions are discussed here. This lesson is 2 of 5 in the series titled "Domain and Range of Inverse Functions."
Sophia Learning
Sophia: Finding the Inverse of a Function of a Function: Lesson 2
In this lesson, you will learn how to follow the steps to find the function of a function and its inverse. It is 2 of 10 in the series titled "Finding the Inverse of a Function of a Function."