document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1203468>Question 1203468</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the number of values of $x$ for which the expression $\frac{x^2-9}{x^2 + 9} + \frac{1}{x}$ is undefined. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #839053 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=839053\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Find the number of values of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+for+which+the+expression+%7B%7B%7B+%28x%5E2+-+9%29%2F%28x%5E2+%2B+9%29+%2B+1%2Fx+is+undefined%0D%0A%0D%0A%0D%0A%0D%0A%0D%0Athe+equation+is+undefined+where+the+denominator+equals%7B%7B%7B++0 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ",<BR>\n" );
document.write( "so,\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x%5E2+-+9%29%2F%28x%5E2+%2B+9%29+%2B+1%2Fx ALIGN=MIDDLE  ALT=\"+%28x%5E2+-+9%29%2F%28x%5E2+%2B+9%29+%2B+1%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%28x%5E2+-+9%29%2Fx%28x%5E2+%2B+9%29+%2B+1%28x%5E2+%2B+9%29%2Fx%28x%5E2+%2B+9%29 ALIGN=MIDDLE  ALT=\"+x%28x%5E2+-+9%29%2Fx%28x%5E2+%2B+9%29+%2B+1%28x%5E2+%2B+9%29%2Fx%28x%5E2+%2B+9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x%28x%5E2+-+9%29%2B+x%5E2+%2B+9%29%2Fx%28x%5E2+%2B+9%29 ALIGN=MIDDLE  ALT=\"+%28x%28x%5E2+-+9%29%2B+x%5E2+%2B+9%29%2Fx%28x%5E2+%2B+9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x%5E3+-+9x%2B+x%5E2+%2B+9%29%2Fx%28x%5E2+%2B+9%29 ALIGN=MIDDLE  ALT=\"+%28x%5E3+-+9x%2B+x%5E2+%2B+9%29%2Fx%28x%5E2+%2B+9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x%5E3+%2B+x%5E2+-+9+x+%2B+9%29%2F%28x+%28x%5E2+%2B+9%29%29 ALIGN=MIDDLE  ALT=\"+%28x%5E3+%2B+x%5E2+-+9+x+%2B+9%29%2F%28x+%28x%5E2+%2B+9%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "set denominator equal to zero\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%28x%5E2+%2B+9%29=0 ALIGN=MIDDLE  ALT=\"+x+%28x%5E2+%2B+9%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=0 ALIGN=MIDDLE  ALT=\"+x+=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2+%2B+9=0 ALIGN=MIDDLE  ALT=\"+x%5E2+%2B+9=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2+=-+9 ALIGN=MIDDLE  ALT=\"+x%5E2+=-+9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=sqrt%28-+9%29 ALIGN=MIDDLE  ALT=\"+x+=sqrt%28-+9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=3i ALIGN=MIDDLE  ALT=\"+x+=3i\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=-3i ALIGN=MIDDLE  ALT=\"+x+=-3i\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " the expression <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x%5E2+-+9%29%2F%28x%5E2+%2B+9%29+%2B+1%2Fx ALIGN=MIDDLE  ALT=\"+%28x%5E2+-+9%29%2F%28x%5E2+%2B+9%29+%2B+1%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > is undefined when:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=0 ALIGN=MIDDLE  ALT=\"+x+=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=3i ALIGN=MIDDLE  ALT=\"+x+=3i\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=-3i ALIGN=MIDDLE  ALT=\"+x+=-3i\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );