document.write( "Question 1045715: I am a rational function having a vertical asymptote at
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Algebra.Com's Answer #661293 by Edwin McCravy(20060) $\"\"$ $\"About$

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I am a rational function having a vertical asymptote at
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document.write( "Since it has vertical asymptotes at the lines x = 3 and x = -3, the\r\n" );
document.write( "denominator is (x-3)(x+3) or x²-9\r\n" );
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document.write( "Since it has horizontal asymptote y = 1, the leading term of the numerator\r\n" );
document.write( "must by x²\r\n" );
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document.write( "So it has form:\r\n" );
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document.write( ", for some B and C\r\n" );
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document.write( "Since it has x-intercept 5, it passes through the point (5,0),\r\n" );
document.write( "so we substitute (x,y) = (5,0)\r\n" );
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document.write( "Multiply both sides by 16\r\n" );
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document.write( "Since it has y-intercept -5/9, it passes through the point (0,-5/9),\r\n" );
document.write( "so we substitute (x,y) = (0,-5/9)\r\n" );
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document.write( "Multiply through by -9\r\n" );
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document.write( "Substitute in\r\n" );
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document.write( "So \r\n" );
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document.write( "becomes\r\n" );
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document.write( "Edwin

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