### Online College Courses for Credit

#### FREE EDUCATIONAL RESOURCES PROVIDED by SOPHIA

##### Are you a student?
Free Professional Development
+

# Inverse Functions

##### Rating:
(0)
Author: Shirley Beil

Sophia’s self-paced online courses are a great way to save time and money as you earn credits eligible for transfer to many different colleges and universities.*

No credit card required

29 Sophia partners guarantee credit transfer.

310 Institutions have accepted or given pre-approval for credit transfer.

* The American Council on Education's College Credit Recommendation Service (ACE Credit®) has evaluated and recommended college credit for 27 of Sophia’s online courses. Many different colleges and universities consider ACE CREDIT recommendations in determining the applicability to their course and degree programs.

Tutorial

The following video will be available with closed captioning at:

http://youtu.be/-PoIWP3Zya4

## Inverse Function Property

The following video will be available with closed captioning at:

http://youtu.be/Nrkdxn6wTW4

## Finding the Inverse Function for f(x) = 25/x^2 where x > 0

The following video will be available with closed captioning at:

http://youtu.be/K6Swmp_iBMY

## Finding the Inverse Function for f(x) = √(7x-5)

The following video will be available with closed captioning at:

http://youtu.be/Yoh-Af3Xc7g

## Finding the Inverse Function for f(x) = √(1-x^2 ), where 0 ≤ x ≤ 1

The following video will be available with closed captioning at:

http://youtu.be/4nv0Pdgb6II

## Using the Graph of a Function to Draw the Graph of the Inverse

Note - The graphs of y=f(x) and its inverse were meant to cross on the line y=x

The following video will be available with closed captioning at:

http://youtu.be/EAqh5FPJFQA

## The Horizontal Line Test for One-to-One Functions

The following video will be available with closed captioning at:

http://youtu.be/8D92CeRxk7Y

## Showing that the Graphs of a Function and its Inverse are Reflections of Each Other Over the Line y=x

I incorrectly said that I was finding the 2 "term" equation for the inverse when I meant the 2 "variable" equation.

The following video will be available with closed captioning at:

http://youtu.be/Py9LaxUUEwM

## Restricting the Domain of a Function to Obtain a 1-to-1 Function

Note - The graphs of the two inverse functions would have created a parabola opening to the right with vertex (0,5).

The following video will be available with closed captioning at:

http://youtu.be/EOQhTLvew2E

## Using Function Graph to Graph Inverse in WebAssign

There is no significance to the correction marks that appear with the two examples. Both inverses are correctly graphed.

The following video will be available with closed captioning at:

http://youtu.be/PyCCjlyMfGA