document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1104601>Question 1104601</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this equation - I'm looking to find any asymptotes and holes in the graph of a rational function below:<BR>\n" );
document.write( "f(x) = <BR>\n" );
document.write( "(x^2 + 2x + 1)/(2x^2 - x - 3)<BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #719300 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=719300\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  I'm looking to find any asymptotes and holes in the graph of a rational function below:<BR>\n" );
document.write( "f(x) = (x^2 + 2x + 1)/(2x^2 - x - 3)<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Factor to get:<BR>\n" );
document.write( "f(x) = [(x+1)^2]/[(2x-3)(x+1)]<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "When 2x-3 = 0, x = 3/2 is a vertical asymptote.<BR>\n" );
document.write( "When x+1 = 0, x = -1 is a hole.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );