document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=910848>Question 910848</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the equation of the non-verticle asymptote.\r<BR>\n" );
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document.write( "f(x)= 4x^3-9x^2-9x-6 / -6x^2-6x+5\r<BR>\n" );
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document.write( "y= ?\r<BR>\n" );
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document.write( "Does f(x) intersect its non-verticle asymptote? (yes or no)\r<BR>\n" );
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document.write( "What is the smallest value of x at which f(x) intersects its non-verticle asymptote? Leave blank if answered no to question above.\r<BR>\n" );
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document.write( "Thank you for your help I can't figure this one out at all.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #552725 by </B><A HREF=/tutors/aboutme.mpl?userid=ewatrrr><B>ewatrrr(24785)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ewatrrr><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/cgi-bin/show-face.mpl?user=ewatrrr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=552725\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 4x^3-9x^2-9x-6 /( -6x^2-6x+5 )<BR>\n" );
document.write( "Using Long Division to determine non- verticle asymptote<BR>\n" );
document.write( "-2x/3 + 11/6 +  (44x-101)/6/(-6x^2-6x+5)<BR>\n" );
document.write( "......<BR>\n" );
document.write( "As x gets very large...(44x-101)/6/(-6x^2-6x+5)approaches 0<BR>\n" );
document.write( "....<BR>\n" );
document.write( "y = (-2/3)x + 11/6 (Green) is the oblique non-verticle asymptote<BR>\n" );
document.write( " Does f(x) intersect its non-verticle asymptote? No \r<BR>\n" );
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