document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1197629>Question 1197629</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What are the vertical and a horizontal asymptote at y, if any, for the function f(x)=x^2+x-30 / x^2-2x-15 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #830978 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</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=830978\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For x to extreme left or extreme right, f(x) approaches 1, since the x^2 dominates in both numerator and denominator.\r<BR>\n" );
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document.write( "The function also expressed as  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%2B6%29%28x-5%29%29%2F%28%28x-5%29%28x%2B3%29%29 ALIGN=MIDDLE  ALT=\"%28%28x%2B6%29%28x-5%29%29%2F%28%28x-5%29%28x%2B3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.   Consider what happens near <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-6 ALIGN=MIDDLE  ALT=\"x=-6\"   DISABLED_style= \"max-width:90%; height:auto;\" > and at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-3 ALIGN=MIDDLE  ALT=\"x=-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.   ESPECIALLY at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-3 ALIGN=MIDDLE  ALT=\"x=-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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