document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1033903>Question 1033903</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A function f has horizontal asymptote of y = -4, a vertical asymptote of x = 3, and an x-intercept at (1,0).\r<BR>\n" );
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document.write( "Part (a): Let f be of the form<BR>\n" );
document.write( "f(x) = (ax+b)/(x+c).<BR>\n" );
document.write( "Find an expression for f(x).\r<BR>\n" );
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document.write( "Part (b): Let f be of the form<BR>\n" );
document.write( "f(x) = (rx+s)/(2x+t). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #648524 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=648524\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I will explain just some of it.\r<BR>\n" );
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document.write( "Notice degree 1 for both numerator and denominator, equal, so that you can have horizontal asymptote.  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2F1=-4 ALIGN=MIDDLE  ALT=\"a%2F1=-4\"   DISABLED_style= \"max-width:90%; height:auto;\" > and similarly  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%2F2=-4 ALIGN=MIDDLE  ALT=\"r%2F2=-4\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "The given x-intercept indicates  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ax%2Bb=0 ALIGN=MIDDLE  ALT=\"ax%2Bb=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=rx%2Bs=0 ALIGN=MIDDLE  ALT=\"rx%2Bs=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "You must have denominator equal to zero if x is 3, but x<>3 is the requirement for having given vertical asymptote of x=3. </SPAN>\n" );
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