document.write( "Question 519725: I need help in finding the domain of $\"%28x-1%29%2F%28sqrt%28x%5E2%2B5x-14%29%29\"$ .\r
\n" ); document.write( "\n" ); document.write( "This is what I have:\r
\n" ); document.write( "\n" ); document.write( "1) $\"x%5E2%2B5x-14=0\"$
\n" ); document.write( "(x+7)(x-2)=0
\n" ); document.write( "x+7=0 OR x-2=0
\n" ); document.write( "x=-7 OR x=2\r
\n" ); document.write( "\n" ); document.write( "( $\"-infinity\"$ ,-7),(-7,2),(2, $\"infinity\"$ )
\n" ); document.write( " Test: -8 0 3
\n" ); document.write( " sign: + - +
\n" ); document.write( "( $\"-infinity\"$ ,-7) $\"U\"$ (2, $\"infinity\"$ )\r
\n" ); document.write( "\n" ); document.write( "2) $\"x%5E2%2B5x-14%3E=0\"$
\n" ); document.write( " $\"%28x%2B7%29%28x-2%29%3E=0\"$
\n" ); document.write( " $\"x%2B7%3C=0\"$ OR $\"x-2%3E=0\"$
\n" ); document.write( " $\"x%3C=0\"$ OR $\"x%3E=0\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Domain= ( $\"-infinity\"$ ,-7) $\"U\"$ (-7,2) $\"U\"$ (2, $\"infinity\"$ )
\n" ); document.write( "{x|x is a real number, x is not -7, x is not 2, $\"x%3C=-7\"$ , $\"x%3E=2\"$ } \n" ); document.write( "

Algebra.Com's Answer #345772 by Edwin McCravy(20056) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "The domain is  \r\n" );
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document.write( "{x | x is a real number, x < -7 or x > 2) \r\n" );
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document.write( "in set builder notation. or\r\n" );
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document.write( "(-∞, -7) U (2, ∞)\r\n" );
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document.write( "in interval notation.\r\n" );
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document.write( "Note:\r\n" );
document.write( "You don't need to put \"x is not -7\".\r\n" );
document.write( "Be sure to use only \"<\" and \">\" \r\n" );
document.write( "Be sure NOT to use either \"≦\" or \"≧\".  \r\n" );
document.write( "Also (-7,2) is NOT included in the domain.\r\n" );
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document.write( "Edwin

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