SOLUTION: what is the domain of (x(x+3))/8x^2-1)

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Question 839201: what is the domain of (x(x+3))/8x^2-1)
Answer by fcabanski(1391) About Me  (Show Source):
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When looking at the domain of a rational function (fraction), make sure that there are no negative numbers in even numbered roots (usually square roots) and the denominator is not 0.


This function has no roots, so the Domain is all real numbers except whatever makes the denominator 0.


8x%5E2-1+=+0


8x%5E2+=+1


x%5E2+=+1%2F8


x+=+sqrt%281%2F8%29


So the domain is all real numbers except sqrt%281%2F8%29 which = + or - 1%2F2sqrt%282%29 = + or - 2sqrt%282%29%2F8