document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=22362>Question 22362</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%28x%5E2-x-12%29%2F%28x-2%29 ALIGN=MIDDLE  ALT=\"f%28x%29=%28x%5E2-x-12%29%2F%28x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Find: (x+3)(x-4)/x-2<BR>\n" );
document.write( "(a)domain: +3 or -4<BR>\n" );
document.write( "(b)zeros,if any: All real numbers except 0 and -2\r<BR>\n" );
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document.write( "Is this correct? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #10842 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=10842\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> not quite sure what you are asking here. I think you are asking for your answers to be checked?\r<BR>\n" );
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document.write( "f(x) is re-written as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%2B3%29%28x-4%29%29%2F%28x-2%29 ALIGN=MIDDLE  ALT=\"%28%28x%2B3%29%28x-4%29%29%2F%28x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, correct.\r<BR>\n" );
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document.write( "So, domain. This is ONLY asking you, what values of x can you put in to this equation? To answer this, it is easier to ask yourself, which x-values can i NOT put into the equation? That answer is x=+2, since this value, makes the denominator zero and then the function goes haywire there!.\r<BR>\n" );
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document.write( "So, the domain is ANY VALUE OF x, but not +2.\r<BR>\n" );
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document.write( "This is written as xeR, x /= +2 (i cannot write the correct symbols here: /= is supposed to be an equals with a diagonal line through it)<BR>\n" );
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document.write( "Zeroes? These are the roots of the equation. where does it cross the x-axis. The answer is at points x=-3 and x=4.\r<BR>\n" );
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document.write( "The graph is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28200%2C200%2C-5%2C5%2C-10%2C10%2C+%28%28x%2B3%29%28x-4%29%29%2F%28x-2%29%29 ALIGN=MIDDLE  ALT=\"graph%28200%2C200%2C-5%2C5%2C-10%2C10%2C+%28%28x%2B3%29%28x-4%29%29%2F%28x-2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "but note that the vertical line at x=2 is NOT part of the graph. The graph is 2 separate curves that head towards but never quite reach the x=2 vertical...this is called the asymptote.\r<BR>\n" );
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document.write( "Hope this helps\r<BR>\n" );
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document.write( "jon.<BR>\n" );
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