document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=451874>Question 451874</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Problem: f(x) = (3x -1)/ (x + 4)= Domain (- infinity, -4) u (-4, infinity)\r<BR>\n" );
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document.write( "Find the equations of both vertical and horizontal asymptotes of the function.\r<BR>\n" );
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document.write( "Please show work or explain in Words. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #310683 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=310683\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Considering only the highest powers for the numerator and denominator, the function is reduced to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%29%2Fx+=+3 ALIGN=MIDDLE  ALT=\"%283x%29%2Fx+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Letting x approach  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=infinity ALIGN=MIDDLE  ALT=\"infinity\"   DISABLED_style= \"max-width:90%; height:auto;\" >, f(x) then approaches 3, and hence the horizontal asymptote is y = 3.\r<BR>\n" );
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document.write( "The vertical asymptote is where x  + 4 = 0, or x = -4, which is the equation of the vertical asymptote itself. </SPAN>\n" );
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