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Question 323832: Find the domain of the rational function
f(x) = (x^3 + 2x^2 + x + 1)/(x^2 + 3x + 2)
Answer by rapaljer(4671)   (Show Source):
You can put this solution on YOUR website! To determine the domain, it is essential that the DENOMINATOR NOT EQUAL ZERO! the numerator is actually irrelevant!
In this case, the forbidden values are values of x such that
x^2 +3x +2=0
(x+2)(x+1)=0
x=-2, x=-1
Domain is all real values of x, provided that x is NOT -1 or -2.
For additional explanation on DOMAIN, please see my own website. Click on my tutor name "rapaljer" anywhere in algebra.com. Click on my web address that is given there.
From my Homepage, look for the link "MATH IN LIVING COLOR." Choose either "Intermediate Algebra", and look in Chapter 5 or choose "College Algebra" in Chapter 2 for the topic "Functions, Domain, and Range." There you will find my own explanation with lots of examples solved IN COLOR!! My own students found this much easier to understand than traditional textbooks.
I also have videos from my own classes a few years before I retired that are available FREE from the website. From my Homepage, click on the link "Rapalje Videos in Living Color," and choose either "Intermediate Algebra" or "College Algebra" depending upon the level you are able to understand. Look for the topic "Functions, Domain, and Range."
I spent my career trying to make math understandable to students who have trouble with math. I hope you will like my website and recommend it to friends who need FREE help with math!!!
Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus
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