document.write( "Question 878939: Findind the domain of the rational function
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Algebra.Com's Answer #530387 by jim_thompson5910(35256)\"\" \"About 
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You cannot divide by zero. If the denominator were zero, then \r
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\n" ); document.write( "\n" ); document.write( "2x-6 = 0\r
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\n" ); document.write( "\n" ); document.write( "2x = 6\r
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\n" ); document.write( "\n" ); document.write( "x = 6/2\r
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\n" ); document.write( "\n" ); document.write( "x = 3\r
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\n" ); document.write( "\n" ); document.write( "That means if x = 3, then the denominator 2x-6 would be equal to zero.\r
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\n" ); document.write( "\n" ); document.write( "So x = 3 causes a division by zero error. That forces us to exclude x = 3 from the domain.\r
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\n" ); document.write( "\n" ); document.write( "Domain: the set of all real numbers x but x cannot equal 3\r
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\n" ); document.write( "\n" ); document.write( "Another way to state the domain\r
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\n" ); document.write( "\n" ); document.write( "\"\text{Domain:\r
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\n" ); document.write( "\n" ); document.write( "Domain in interval notation:\r
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