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Question 209951: Find the domain of the function.
f(x)=square root of x+6 (divided by)
6+x
Please help I am really confused I got "All real numbers except x=-6 but I also got x is greater than or equal to 6.
Answer by rapaljer(4671)   (Show Source):
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.
 , so  .
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!
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R^2
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Seminole Community College
Altamonte Springs Campus
Florida
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