document.write( "Question 982454: Find a horizontal asymptote, it it exists, of the function\r
\n" ); document.write( "\n" ); document.write( "g(x)=(1-x)(2+3x)/2x^2+1 \r
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Algebra.Com's Answer #603272 by AnlytcPhil(1810)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "[Edwin McCravy and AnlytcPhil are the same person!]\r\n" );
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document.write( "\"g%28x%29\"\"%22%22=%22%22\"\"%281-x%29%282%2B3x%29%2F%282x%5E2%2B1%29\"\r\n" );
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document.write( "We multiply the numerator out:\r\n" );
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document.write( "\"g%28x%29\"\"%22%22=%22%22\"\"%281%2Bx-3x%5E2%29%2F%282x%5E2%2B1%29\"\r\n" );
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document.write( "Place the numerator in descending order of powers of x:\r\n" );
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document.write( "\"g%28x%29\"\"%22%22=%22%22\"\"%28red%28-3%29x%5E2%2Bx%2B1%29%2F%28red%282%29x%5E2%2B1%29\"\r\n" );
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document.write( "Since the degree of the numerator is 2 and the degree\r\n" );
document.write( "of the denominator is also 2, the equation of the\r\n" );
document.write( "horizontal asymptote is \r\n" );
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document.write( "\"y\"\"%22%22=%22%22\"\"red%28-3%29%2Fred%282%29\"\r\n" );
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document.write( "\"y\"\"%22%22=%22%22\"\"-3%2F2\"\r\n" );
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document.write( "The green line is the horizontal asymptote.  It's hard to tell but on\r\n" );
document.write( "the left the graph actually crosses its horizontal asymptote at x= -3.5,\r\n" );
document.write( "goes a tiny bit below it and then approaches it from below.  On the right\r\n" );
document.write( "the graph only approaches the horizontal asymptote from above.\r\n" );
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document.write( "Edwin
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