document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1105531>Question 1105531</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the discontinuity and zero of the function f(x) = the quantity of 3 x squared plus x minus 4, all over x minus 1? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #720378 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=720378\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 3x^2+x-4/(x-1)<BR>\n" );
document.write( "discontinuity at x=1, for denominator is 0.<BR>\n" );
document.write( "(3x+4)(x-1)/(x-1) is factored form of numerator.<BR>\n" );
document.write( "Because x-1 cancels, it is a hole rather than an asymptote, and that hole is the discontinuity.<BR>\n" );
document.write( "3x+4=0<BR>\n" );
document.write( "x=-4/3 is the zero.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C%283x%5E2%2Bx-4%29%2F%28x-1%29%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C%283x%5E2%2Bx-4%29%2F%28x-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );