document.write( "Question 912238: Find the domain of the function algebraically and write it using interval notation: f(x)=x/(x^2-7x) \n" ); document.write( "
Algebra.Com's Answer #553715 by josgarithmetic(39618)\"\" \"About 
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f(x)=x/(x^2-7x)
\n" ); document.write( "f(x)=x/(x(x-7))
\n" ); document.write( "Critical x values are 0 and 7.\r
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\n" ); document.write( "\n" ); document.write( "No vertical root for x at zero because x is both in the numerator AND the denominator.
\n" ); document.write( "f is undefined and discontinuous for x at 0.\r
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\n" ); document.write( "\n" ); document.write( "Vertical asymptote at x=7 because undefined for x at 7.\r
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\n" ); document.write( "\n" ); document.write( "Intervals of x<0, 0\n" ); document.write( "Near x=0, f becomes increasingly negative from either direction. (?)\r
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\n" ); document.write( "\n" ); document.write( "Within 0\n" ); document.write( "f=(+)/((+)(-))
\n" ); document.write( "f is negative\r
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\n" ); document.write( "\n" ); document.write( "Within 7\n" ); document.write( "f=(+)/((+)(+))
\n" ); document.write( "f is positive\r
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\n" ); document.write( "\n" ); document.write( "That analysis is not really complete, but this should be the graph:\r
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\n" ); document.write( "\n" ); document.write( "\"graph%28300%2C300%2C-10%2C10%2C-10%2C10%2Cx%2F%28x%5E2-7x%29%29\"
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