document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=78339>Question 78339</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find a rational function that has x=4 and x=3 as vertical asymptotes, and (-2,0) as an x-intercept </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #56191 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=56191\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> find a rational function that has x=4 and x=3 as vertical asymptotes, and <BR>\n" );
document.write( "(-2,0) as an x-intercept<BR>\n" );
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document.write( "To have that x-intercept you need (x+2) as a factor in the numerator.<BR>\n" );
document.write( "To have those asymptotes you need (x-4)and (x-3) as factors in the denominator.<BR>\n" );
document.write( "f(x) = (x+2)/[(x-4)(x-3)]<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );