document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1035842>Question 1035842</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Select all discontinuities of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%2B2x%2B1%29%2F%28%289%2Fx%29-%28x%2F%28x%5E2-8%29%29%29 ALIGN=MIDDLE  ALT=\"%28x%5E2%2B2x%2B1%29%2F%28%289%2Fx%29-%28x%2F%28x%5E2-8%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a. x=-3<BR>\n" );
document.write( "b. x=-2&#8730;2<BR>\n" );
document.write( "c. x=-1<BR>\n" );
document.write( "d. x=0<BR>\n" );
document.write( "e. x=2&#8730;2<BR>\n" );
document.write( "f. 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 #650515 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=650515\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2Fx-x%2F%28x%5E2-8%29 ALIGN=MIDDLE  ALT=\"9%2Fx-x%2F%28x%5E2-8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > becomes zero at x = 3 and x  = -3, as can be easily solved.  \r<BR>\n" );
document.write( "\n" );
document.write( "9/x is undefined at x = 0.  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-8 ALIGN=MIDDLE  ALT=\"x%5E2-8\"   DISABLED_style= \"max-width:90%; height:auto;\" > is zero at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-2sqrt%282%29 ALIGN=MIDDLE  ALT=\"x+=+-2sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+2sqrt%282%29 ALIGN=MIDDLE  ALT=\"x+=+2sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "\n" );
document.write( "Therefore the expression is continuous only at x = -1.  In the other choices it is discontinuous. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );