document.write( "Question 1052526: Given $\"+g%28x%29+=+%283x%5E2%2B4x-3%29%2F%28x%5E2%2B3%29+\"$ , determine the horizontal asymptote and the point where the graph crosses the horizontal asymptote \n" ); document.write( "

Algebra.Com's Answer #667906 by Fombitz(32388) $\"\"$ $\"About$

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$\"%283x%5E2%2B4x-3%29%2F%28x%5E2%2B3%29=%283%2B4%2Fx-3%2Fx%5E2%29%2F%281%2B3%2Fx%5E2%29\"$
\n" ); document.write( "In the limit as x goes to $\"infinity\"$ and $\"-infinity\"$ ,
\n" ); document.write( " $\"g%28x%29=3\"$
\n" ); document.write( "So the horizontal asymptote is $\"y=3\"$ .
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\n" ); document.write( "Crossing the horizontal asymptote,
\n" ); document.write( " $\"%283x%5E2%2B4x-3%29%2F%28x%5E2%2B3%29=3\"$
\n" ); document.write( " $\"3x%5E2%2B4x-3=3x%5E2%2B9\"$
\n" ); document.write( " $\"4x=12\"$
\n" ); document.write( " $\"x=3\"$
\n" ); document.write( "Then,
\n" ); document.write( " $\"y=%283%283%29%5E2%2B4%283%29-3%29%2F%283%5E2%2B3%29=%2827%2B12-3%29%2F%289%2B3%29=36%2F12=3\"$
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