document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=308831>Question 308831</A>: <I><SPAN STYLE=\"word-break: break-all;\"> consider the function t defined by t(z)=z^2-z-6/z^2+z-12\r<BR>\n" );
document.write( "\n" );
document.write( "a. determine the location of the removable discontinuity of function t.<BR>\n" );
document.write( "b. show that t has an essential discontinuity at z=-4.<BR>\n" );
document.write( "c. find the domain of this fuction. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #220812 by </B><A HREF=/tutors/aboutme.mpl?userid=user_dude2008><B>user_dude2008(1862)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=user_dude2008><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=220812\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "t(z)=(z^2-z-6)/(z^2+z-12)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "t(z)=((z-3)(z+2))/((z-3)(z+4))\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "t(z)=(z+2)/(z+4)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "removable discont at z=3\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "b.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "discont at z=-4 since z+4 is denominator\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "c.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Domain: set of all real numbers but z =/= 3 or z =/= -4 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );