document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=65556>Question 65556</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Um..for f(x)=1/x^2-2x-8 I need to find the interval/intervals where f(x)<0 and I cant seem to figure it out. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #46124 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=46124\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> for f(x)=1/x^2-2x-8 I need to find the interval/intervals where f(x)<0<BR>\n" );
document.write( "f(x)=1/(x-4)(x+2)<BR>\n" );
document.write( "You have vertical asymptotes at x=-2 and at x=4<BR>\n" );
document.write( "Draw a number line.<BR>\n" );
document.write( "Mark x=-2 and x=4 on the line<BR>\n" );
document.write( "That breaks the line into 3 intervals;  <BR>\n" );
document.write( "Determine if f(x)<0 in each of those intervals, as follows.<BR>\n" );
document.write( "If x=-10 f(-10)=1/(-)(-) which is positive; so no solutions in (-inf,-2)<BR>\n" );
document.write( "If x=0 f(0)=1/(-)(+) which is negative; so (-2,4) is part of the solution<BR>\n" );
document.write( "If x=10 f(10)=1/(+)(+) which is positive; so no solutions in (4,inf)<BR>\n" );
document.write( "SOLUTION: -2<x<4<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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