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Question 252795: Determine the domain of (x - 2)(X^2 - 4)/(1 - x^2)
Found 2 solutions by JimboP1977, rapaljer:
Answer by JimboP1977(311)   (Show Source):
Answer by rapaljer(4671)  (Show Source):
You can put this solution on YOUR website! To find the domain, since there are no square roots in this problem, just make sure the DENOMINATORS cannot equal zero. This means that
(1-x^2) cannot equal zero.
(1-x)(1+x) cannot equal zero.
x cannot equal 1 or -1.
Domain is all real values except 1 and -1.
If you would like additional explanation of this topic, see my own website by clicking on my tutor name "Rapaljer" anywhere in algebra.com. From this, click on my website, which is given to you. On the Homepage of my website, look for the link near the top of the page "Math in LIVING COLOR". Click on "Intermediate Algebra" or "College Algebra, then look in "Chapter 5" for Intermediate Algebra" or "Chapter 2" for College Algebra, and look for the Section called "Functions, Domain, and Range."
In addition, there is a video that was taken a few years ago of me teaching this topic in both Intermediate and College Algebra. You can sse these videos and videos on other topics as well from my Homepage by looking for the link "Rapalje Videos in Living Color." The videos are all FREE.
This is my own curriculum that was written especially for students who have trouble understanding the traditional textbooks. If you need help with most any topic in algebra, I have something you may want to see on these pages. It's all free. Let me know if you like it. My own students did!!
Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus
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