document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1115363>Question 1115363</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For the function g(x) = x^3/(2x^3-x^2-3x) determine <BR>\n" );
document.write( "a. the vertical asymptotes, if any<BR>\n" );
document.write( "b. the holes, if any<BR>\n" );
document.write( "c. the horizontal asymptotes, if any<BR>\n" );
document.write( "d. the oblique asymptote, if any  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #730240 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39625)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=730240\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Some factorization will help to identify some of those details.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2Ax%5E2%29%2F%28x%2A%282x%5E2-x-3%29%29 ALIGN=MIDDLE  ALT=\"%28x%2Ax%5E2%29%2F%28x%2A%282x%5E2-x-3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28%28x%2Fx%29%28%28x%5E2%29%2F%282x-3%29%28x%2B1%29%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%28%28x%2Fx%29%28%28x%5E2%29%2F%282x-3%29%28x%2B1%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Undefined for x at 0, but since there is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Fx ALIGN=MIDDLE  ALT=\"x%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" >, a HOLE at x = 0.\r<BR>\n" );
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document.write( "Notice degree of numerator and denominator of g(x) are the same, so horizontal asymptote is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=1%2F2 ALIGN=MIDDLE  ALT=\"y=1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Vertical asymptotes:  Look at the denominator of the factored form.<BR>\n" );
document.write( "Asymptotes for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-1 ALIGN=MIDDLE  ALT=\"x=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > and for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=3%2F2 ALIGN=MIDDLE  ALT=\"x=3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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