### Free Educational Resources

• > Mathematics
• > Composite Functions and Their Domains
+

# Composite Functions and Their Domains

##### 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

28 Sophia partners guarantee credit transfer.

281 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 25 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/r55VvI2agxk

## If f(x) = x^2 and g(x) = √(x-5), Find the Compositions in Each Direction and Their Domains

At the end of the video I correctly wrote the domain of g o f as
x less than or equal to -sqrt 5 or x greater than or equal to sqrt 5
However I read this incorrectly as
x GREATER than or equal to -sqrt 5 or x greater than or equal to sqrt 5

The following video will be available with closed captioning at:

http://youtu.be/Gyto0nQ3RgE

## If f(x) = x^2 and g(x) = √(x-5), Find f o f and g o g and Their Domains

At the very end of this video I say "x greater than or equal to 0" twice when what I should have said was "x greater than or equal to 30". What was written was correct!