document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=57300>Question 57300</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do I work this problem?<BR>\n" );
document.write( "Give the equation of the horizontal asymptote of the following rational function:\r<BR>\n" );
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document.write( "f(x)= x^2+x-6/x-4\r<BR>\n" );
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document.write( "Thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #38996 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=38996\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How do I work this problem?<BR>\n" );
document.write( "Give the equation of the horizontal asymptote of the following rational function:<BR>\n" );
document.write( "f(x)= x^2+x-6/x-4<BR>\n" );
document.write( "Y = F(X)= [X^2+3X-2X-6]/(X+4)=[X(X+3)-2(X+3)]/(X+4)=[(X+3)(X-2)/(X-4)]<BR>\n" );
document.write( "THERE IS ONLY 1 VERTICL ASYMPTOTE X=4...SINCE Y TENDS TO INFINITY AS X TENDS TO 4.<BR>\n" );
document.write( "THERE IS NO HORIZONTAL ASYMPTOTE.SINCE AS X TENDS TO INFINITY Y ALSO TENDS TO INFINITY<BR>\n" );
document.write( "HAD IT BEEN Y=(X-4)/(X^2+X-6)<BR>\n" );
document.write( "WE WOULD HAVE GOT A HORIZONTAL ASYMPTOTE OF Y = 0 OR THE X AXIS<BR>\n" );
document.write( " SINCE AS X TENDS TO INFINITY Y TENDS TO ZERO. </SPAN>\n" );
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