Instructional Video7:49
Curated Video

Introduction to Evaluating Logarithms Using Exponentials

K - 5th
In this video, the teacher explains the concept of inverses in functions and focuses on exponential and logarithmic functions. They discuss how the x and y values switch in inverse functions and demonstrate the reflection of graphs over...
Instructional Video
Khan Academy

Khan Academy: Linear Algebra: Introduction to the Inverse of a Function

9th - 10th Standards
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]
Instructional Video
Khan Academy

Khan Academy: Linear Algebra: Determining Whether a Transformation Is Onto

9th - 10th Standards
Video reviews from previous videos that a function is invertible if and only if it is onto and one-to-one. Shows how to determine if a linear transformation is onto by showing that the columns of the transformation matrix span the...
Instructional Video
Khan Academy

Khan Academy: Linear Algebra: Relating Invertibility to Onto and One to One

9th - 10th Standards
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]
Instructional Video
Khan Academy

Khan Academy: Linear Algebra: Invertibility Implies a Unique Solution to F(x)=y

9th - 10th Standards
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...
Instructional Video
Sophia Learning

Sophia: Finding the Inverse of a Function: Lesson 11

9th - 10th Standards
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 11 of 12 in the series titled "Finding the Inverse of a Function."
Instructional Video
Sophia Learning

Sophia: Finding the Inverse of a Function: Lesson 6

9th - 10th Standards
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 6 of 12 in the series titled "Finding the Inverse of a Function."
Instructional Video
Sophia Learning

Sophia: Finding the Inverse of a Function of a Function: Lesson 10

9th - 10th Standards
In this lesson, you will learn how to follow the steps to find the function of a function and its inverse. It is 10 of 10 in the series titled "Finding the Inverse of a Function of a Function."
Instructional Video
Sophia Learning

Sophia: Finding the Inverse of a Function: Lesson 9

9th - 10th Standards
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."
Instructional Video
Sophia Learning

Sophia: Finding the Inverse of a Function of a Function: Lesson 8

9th - 10th Standards
In this lesson, you will learn how to follow the steps to find the function of a function and its inverse. It is 8 of 10 in the series titled "Finding the Inverse of a Function of a Function."
Instructional Video
Khan Academy

Khan Academy: Determining Whether a Transformation Is Onto

9th - 10th Standards
Shows how to determine if a linear transformation is onto by showing that the columns of the transformation matrix span the co-domain.
Instructional Video
Sophia Learning

Sophia: Inverse Sine

9th - 10th
This video tutorial introduces and provides examples of the inverse sine function. The lesson demonstrates how to use the inverse sine ratio to solve for an unknown angle in a right triangle.
Instructional Video
Sophia Learning

Sophia: Finding the Inverse of a Function: Lesson 7

9th - 10th Standards
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 7 of 12 in the series titled "Finding the Inverse of a Function."
Instructional Video
Sophia Learning

Sophia: Finding the Inverse of a Function: Lesson 8

9th - 10th Standards
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 8 of 12 in the series titled "Finding the Inverse of a Function."
Instructional Video
Sophia Learning

Sophia: Finding the Inverse of a Function of a Function: Lesson 5

9th - 10th Standards
In this lesson, you will learn how to follow the steps to find the function of a function and its inverse. It is 5 of 10 in the series titled "Finding the Inverse of a Function of a Function."
Instructional Video
Sophia Learning

Sophia: Finding the Inverse of a Function of a Function: Lesson 7

9th - 10th Standards
In this lesson, you will learn how to follow the steps to find the function of a function and its inverse. It is 7 of 10 in the series titled "Finding the Inverse of a Function of a Function."
Instructional Video
Sophia Learning

Sophia: Finding the Inverse of a Function of a Function: Lesson 2

9th - 10th Standards
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."
Instructional Video
Sophia Learning

Sophia: Finding the Inverse of a Function: Lesson 2

9th - 10th Standards
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 2 of 12 in the series titled "Finding the Inverse of a Function."
Instructional Video
Sophia Learning

Sophia: Finding the Inverse of a Function: Lesson 4

9th - 10th Standards
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 4 of 12 in the series titled "Finding the Inverse of a Function."