document.write( "Question 312743: Is it possible for x=3 to be in the domains of the functions:
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\n" ); document.write( "1. $\"q%28x%29=%282x%5E2%29%2F%28x-3%29\"$ \r
\n" ); document.write( "\n" ); document.write( "2. $\"T%28x%29=+y%5E2-x\"$ ,\r
\n" ); document.write( "\n" ); document.write( "Explain why or why not for each of the above functions? What are the domains of q(x) and T (x)\r
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Algebra.Com's Answer #223596 by Edwin McCravy(20056) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "The domain of a function is the set of all numbers that can be substituted\r\n" );
document.write( "for x that will produce a number for f(x) or y.\r\n" );
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document.write( "You cannot substitute any number for x if it will cause a denominator to be 0.\r\n" );
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\n" ); document.write( "Is it possible for x=3 to be in the domains of the functions:
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\n" ); document.write( "1. $\"q%28x%29=%282x%5E2%29%2F%28x-3%29\"$
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document.write( "If you substitute 3 for x in that, you get\r\n" );
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document.write( "   \r\n" );
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document.write( "Eighteen cannot be divided by zero!   has no meaning whatsoever.\r\n" );
document.write( "It is not any number.  Therefore we are forbidden to substitute 3 for x.\r\n" );
document.write( "So 3 cannot be part of the domain.  However every other number is in the\r\n" );
document.write( "domain.\r\n" );
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\n" ); document.write( "2. $\"T%28x%29=+y%5E2-x\"$
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document.write( "If we substitute 3 for x in that\r\n" );
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document.write( "   \r\n" );
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document.write( " will never have a zero in the denominator, so for any\r\n" );
document.write( "value we choose for x or for y, that will produce a number for T.  3 is in\r\n" );
document.write( "the domain of T as well as every other number.\r\n" );
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document.write( "Edwin

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