document.write( "Question 805664: I need to determine the domain of f(x)= $\"sqrt%2816-x%5E2%29+%2F+%28x%2B1%29\"$ \n" ); document.write( "

Algebra.Com's Answer #485460 by josgarithmetic(39620) $\"\"$ $\"About$

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The numerator tells you that $\"-4%3C=x%3C=4\"$ .
\n" ); document.write( "The denominator tells you that $\"x%3C-1\"$ OR $\"x%3E-1\"$ .\r
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\n" ); document.write( "\n" ); document.write( "View these on a number line for a good visual sense. Once you have done that and studied it, continue...\r
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\n" ); document.write( "\n" ); document.write( "Domain is $\"highlight%28-4%3C=x%3C-1%29\"$ OR $\"highlight%281%3Cx%3C=4%29\"$ \r
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\n" ); document.write( "\n" ); document.write( "Actually, the domain would be a set of numbers, so you want to include ALL of the numbers. The \"OR\" is not really needed. The domain is all real numbers in $\"-4%3C=x%3C1\"$ and $\"1%3Cx%3C=4\"$ . \n" ); document.write( "

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