You can put this solution on YOUR website!
Assuming that your problem is
, there are TWO restrictions here. First, since there is a square root in the numerator, the quantity inside the radical, x+6 MUST BE greater than or equal to zero.
However, there is a second restriction because of the denominator. Denominators must NEVER equal zero. Anything that causes the denominator to equal zero is ILLEGAL and must NOT be allowed. So in this case, 6+x CANNOT equal zero, so x CANNOT equal -6.
The second restriction must be applied as well as the first restriction, so therefore, the TOTAL restriction is
. Final Answer!
Please see my non-traditional explanation of "Functions, Domain, and Range" by visiting my website. Go to my website by clicking on my tutor name "Rapaljer" anywhere in algebra.com, and look on my Homepage for the "MATH IN LIVING COLOR" topic. You can't miss it. Then select "College Algebra" and look in Chapter 2 for the topic "Functions, Domain, and Range". There you will find my very "non-traditional" explanation (that means "easier to understand" than your textbook that you spent so much money for!!), and it's in LIVING COLOR--and ALL FREE!!!
Dr. Robert J. Rapalje
Seminole Community College
Altamonte Springs Campus