document.write( "Question 839201: what is the domain of (x(x+3))/8x^2-1) \n" ); document.write( "

Algebra.Com's Answer #505589 by fcabanski(1391) $\"\"$ $\"About$

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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.

\n" ); document.write( "This function has no roots, so the Domain is all real numbers except whatever makes the denominator 0.

\n" ); document.write( " $\"8x%5E2-1+=+0\"$

\n" ); document.write( " $\"8x%5E2+=+1\"$

\n" ); document.write( " $\"x%5E2+=+1%2F8\"$

\n" ); document.write( " $\"x+=+sqrt%281%2F8%29\"$

\n" ); document.write( "So the domain is all real numbers except $\"sqrt%281%2F8%29\"$ which = + or - $\"1%2F2sqrt%282%29\"$ = + or - $\"2sqrt%282%29%2F8\"$ \n" ); document.write( "

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