document.write( "Question 937253: Find the vertical, horizontal, and oblique asymptotes, if any for the given rational function\r
\n" ); document.write( "\n" ); document.write( " $\"+R%28x%29=15x%5E2%2B13x-20+\"$ /3x+5 \n" ); document.write( "

Algebra.Com's Answer #570709 by lwsshak3(11628) $\"\"$ $\"About$

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Find the vertical, horizontal, and oblique asymptotes, if any for the given rational function
\n" ); document.write( " $\"+R%28x%29=15x%5E2%2B13x-20+\"$ /3x+5
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\n" ); document.write( "15x^2+13x-20/3x+5
\n" ); document.write( "..
\n" ); document.write( "Vertical asymptote:
\n" ); document.write( "set denominator=0, then solve for x
\n" ); document.write( "3x+5=0
\n" ); document.write( "3x=-5
\n" ); document.write( "x=-5/3
\n" ); document.write( "..
\n" ); document.write( "Divide by long division:
\n" ); document.write( "............5x-4.......
\n" ); document.write( "..3x+5|15x^2+13x-20
\n" ); document.write( ".......15x^2+25x...
\n" ); document.write( "............-12x-20
\n" ); document.write( "............-12x-20
\n" ); document.write( ".................0
\n" ); document.write( "Function is a straight line: y=5x-4
\n" ); document.write( "Asymptotes: none
\n" ); document.write( "Function is undefined at x=-5/3 (\"hole\")\r
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