document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=200612>Question 200612</A>: <I><SPAN STYLE=\"word-break: break-all;\"> h(x)= x-3/x^3-4x\r<BR>\n" );
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document.write( "What is the domain of the function </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #150860 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=150860\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%28x%29=+%28x-3%29%2F%28x%5E3-4x%29 ALIGN=MIDDLE  ALT=\"h%28x%29=+%28x-3%29%2F%28x%5E3-4x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Domain specifies the values 'x' can take.<BR>\n" );
document.write( "The only thing we have to worry about is if the denominator goes to zero.<BR>\n" );
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document.write( "So, set the denominator to zero and solve for x:<BR>\n" );
document.write( "x^3-4x = 0<BR>\n" );
document.write( "x(x^2-4) = 0<BR>\n" );
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document.write( "So, the denominator goes to zero if:<BR>\n" );
document.write( "x=0 or x^2-4=0<BR>\n" );
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document.write( "Therefore,<BR>\n" );
document.write( "x = all real numbers EXCEPT: x=0, x=-2, x=2<BR>\n" );
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