document.write( "Question 867044: what is the domain of the function f(x)=3x^2/x^2-49 \n" ); document.write( "
Algebra.Com's Answer #522663 by jim_thompson5910(35256)\"\" \"About 
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You cannot divide by zero. So \"x%5E2+-+49\" cannot be zero. \r
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\n" ); document.write( "\n" ); document.write( "If it were, then \r
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\n" ); document.write( "\n" ); document.write( "\"x%5E2+-+49+=+0\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28x-7%29%28x%2B7%29+=+0\"\r
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\n" ); document.write( "\n" ); document.write( "\"x-7=0\" or \"x%2B7+=+0\"\r
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\n" ); document.write( "\n" ); document.write( "\"x=7\" or \"x=-7\"\r
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\n" ); document.write( "\n" ); document.write( "These two values cause the denominator to be zero. \r
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\n" ); document.write( "\n" ); document.write( "So they must be kicked out of the domain to make sure the entire rational expression is defined.\r
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\n" ); document.write( "\n" ); document.write( "Therefore, the domain is the set of all real numbers BUT x cannot equal -7 and x cannot equal 7. The value of x can be any other number.\r
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\n" ); document.write( "\n" ); document.write( "In interval notation, the domain is \"\left(-\infty,-7\right)\cup\left(-7,7\right)\cup\left(7,\infty\right)\"
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