document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1007509>Question 1007509</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the domain of the rational function.\r<BR>\n" );
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document.write( "f(x) = x - 7/x^3 - 7x^2 - 100x + 700 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #623411 by </B><A HREF=/tutors/aboutme.mpl?userid=fractalier><B>fractalier(6550)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fractalier><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=fractalier><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=623411\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We can factor the denominator in order to determine what values of x make it go to zero and are thus disallowed, not being part of the domain...<BR>\n" );
document.write( "f(x) = x - 7 / x^3 - 7x^2 - 100x + 700<BR>\n" );
document.write( "f(x) = (x - 7) / (x - 10)(x + 10)(x - 7)<BR>\n" );
document.write( "Thus the domain is all real except x = 7, 10, and -10.<BR>\n" );
document.write( "The x = 7 is what is called a removable discontinuity (if you need to know that). </SPAN>\n" );
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