document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=2392>Question 2392</A>: <I><SPAN STYLE=\"word-break: break-all;\"> State the domain of r(x) and range of r(x) in the equation r(x)=(6x+12)/(x^2-16) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #1019 by </B><A HREF=/tutors/aboutme.mpl?userid=longjonsilver><B>longjonsilver(2297)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=longjonsilver><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=longjonsilver><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=1019\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> re-arrange this to simplify it, so you can see the equation better...\r<BR>\n" );
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document.write( "r(x) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286%28x%2B2%29%29%2F%28%28x%2B4%29%28x-4%29%29 ALIGN=MIDDLE  ALT=\"%286%28x%2B2%29%29%2F%28%28x%2B4%29%28x-4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "now for these \"fractional equations, you need to do some investigations as to its shape...first, the denominator will freak out when x is either +4 or -4, so these 2 values are NOT allowed..they are asymptotes....the curve gets closer to it but never reaches it.\r<BR>\n" );
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document.write( "so we have a graph in 3 parts...before x=-4, greater than x=4 and the region between.\r<BR>\n" );
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document.write( "now, if x is HUGE and -ve...eg -1000000, what will y be heading towards?...infinity? -infinity? or zero?..answer...towards zero from a negative side.\r<BR>\n" );
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document.write( "Now, if x is HUGE and +ve, eg 1000000, y will again head for zero but from a +ve side.\r<BR>\n" );
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document.write( "In between, if x=0, then y is just negative...this is an elongated S-shape...try it and sketch it...\r<BR>\n" );
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document.write( "Basically: domain is any value except +4 or -4<BR>\n" );
document.write( "range is any value of y is possible.\r<BR>\n" );
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document.write( "jon<BR>\n" );
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