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Question 558765: find the domain of the given function: f(x)=(-15)/(x-3)
Answer by rapaljer(4671)   (Show Source):
You can put this solution on YOUR website! Domain problems are not nearly as hard as most people try to make them!! Actually, there are, in most cases, only TWO things to watch out for:
1. Denominators
2. Square roots
In this case, you have only DENOMINATORS to worry about. Denominators must NEVER equal zero. So, you need to find all the FORBIDDEN values. In this case, the denominator is x-3, so make sure that x-3 must NOT equal zero. To find the forbidden value, set x-3=0, and solve. You get x=3. So "DOMAIN" means "What values of x ARE allowed?" The answer is "All values of x EXCEPT x=3."
For additional examples and explanation like this, please see my website, and look for the page on Functions, Domain, and Range. To go to my website, use the easy-to-spell and easy-to-remember link www.mathinlivingcolor.com. At the very bottom of this page, there is a link that will take you to my Homepage.
Once you are on my Homepage, look for the link "Basic, Intermediate, and College Algebra: One Step at a Time." Choose either "Intermediate Algebra" or "College Algebra". Look in "Chapter 5" of "Intermediate Algebra" or "Chapter 2," of "College Algebra" for a complete, non-traditional explanation that my own students, before I retired, found a lot easier to understand than the published textbooks of that day. You should really like my MATH IN LIVING COLOR pages, where the most difficult problems are solved IN COLOR. In addition, I have videos of me teaching this topic in both Intermediate and College Algebra before I retired. To find my video, look on my Homepage for the link "Rapalje Videos in Living Color."
Everything on the website is FREE. If you find something you really like, just print your own copy of it!!
If anyone needs to contact me, especially about the website, my Email address is rapaljer@seminolestate.edu. I'll be glad to help you find an explanation on my website to help you with your algebra topic!
Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus
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