document.write( "Question 1067304: Determine the equation of the horizontal asymptote of the function. If the function does not have a horizontal asymptote, explain why. You must write the answer in an equation. \r
\n" ); document.write( "\n" ); document.write( "f(x) = (2x-3x^2)/(2x^2-x-3) \n" ); document.write( "

Algebra.Com's Answer #682507 by KMST(5328) $\"\"$ $\"About$

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$\"f%28x%29+=+%282x-3x%5E2%29%2F%282x%5E2-x-3%29\"$ = $\"%28-3x%5E2%2B2x%29%2F%282%28x%5E2-0.5x-1.5%29%29\"$ = $\"%28-3x%5E2%2B1.5x%2B4.5%29%2F%282%28x%5E2-0.5x-1.5%29%29\"$ + $\"%280.%0D%0A5x-4.5%29%2F%282%28x%5E2-0.5x-1.5%29%29\"$ = $\"-3%2F2\"$ + $\"%280.%0D%0A5x-4.5%29%2F%282%28x%5E2-0.5x-1.5%29%29\"$
\n" ); document.write( "So, $\"lim%28x-%3Einfinity%2Cf%28x%29%29=-3%2F2\"$ .
\n" ); document.write( "The horizontal asymptote is $\"highlight%28y=-3%2F2%29%0D%0A\"$ .
\n" ); document.write( " $\"graph%28300%2C300%2C-5%2C5%2C-5%2C5%2C-3%2F2%2C%282x-3x%5E2%29%2F%282x%5E2-x-3%29%29\"$ \n" ); document.write( "

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