document.write( "Question 119848: What values for x must be excluded in the following fraction?
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Algebra.Com's Answer #87835 by jim_thompson5910(35256) $\"\"$ $\"About$

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$\"%28x%2B2%29%2F%28x%5E2-9x%2B14%29\"$ Start with the given expression\r
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\n" ); document.write( "\n" ); document.write( " $\"x%5E2-9x%2B14=0\"$ Set the denominator equal to zero. Remember, dividing by 0 is undefined. So if we find values of x that make the denominator zero, then we must exclude them from the domain.\r
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\n" ); document.write( "\n" ); document.write( " $\"%28x-7%29%28x-2%29=0\"$ Factor the left side (note: if you need help with factoring, check out this solver)\r
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\n" ); document.write( "\n" ); document.write( "Now set each factor equal to zero:\r
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\n" ); document.write( "\n" ); document.write( " $\"x-7=0\"$ or $\"x-2=0\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"x=7\"$ or $\"x=2\"$ Now solve for x in each case\r
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\n" ); document.write( "\n" ); document.write( "Since $\"x=2\"$ and $\"x=7\"$ make the denominator equal to zero, this means we must exclude $\"x=2\"$ and $\"x=7\"$ from our domain \n" ); document.write( "

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