|
Question 316369: What is the domain of the function g(x)=sqrt(x+1)
Answer by rapaljer(4671) (Show Source):
You can put this solution on YOUR website!
Domain is the set of all permissible x values. In this case, since there is a square root, the radicand (that is, whatever is INSIDE the square root sign!) must be GREATER THAN OR EQUAL TO ZERO. In this case, the restriction is that

In interval notation, this means [-1, inf).
For more help with FUNCTIONS, DOMAIN, and RANGE, please see my OWN website by clicking on my tutor name "rapaljer" anywhere in algebra.com. There you will find the link to my website. From my Homepage, look for my non-traditinal curriculum on the link "MATH IN LIVING COLOR." Choose either "Intermediate Algebra" or "College Algebra", depending upon what level you are studying. I recommend starting with Intermediate Algebra, and if this looks too easy for you, then take a look at College Algebra! In Intermediate Algebra, look in Chapter 5 for Section 5.06. For College Algebra, look in Chapter 2 for Section 2.07. These sections feature my own explanation with exercises solved IN LIVING COLOR!!!
In addition to all of this written explanation, I have FREE VIDEOS of me teaching in some of my classes a few years ago before I retired. To see the videos, from my Homepage, look for the link "Rapalje Videos in Living Color." There is a video on "Functions, Domain, and Range" in both Intermediate Algebra and College Algebra.
If you like my curriculum and videos, please recommend my website to your friends and relatives. I know a LOT of people have trouble with math, and I tried to provide a FREE resource, with LOTS of PRACTICE TESTS with detailed SOLUTIONS, written in a way that "non-math" folks can understand it.
Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus
|
|
|
| |