document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=220158>Question 220158</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Give the domain\r<BR>\n" );
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document.write( "f(x)= x^4+4/x^2+6x-16\r<BR>\n" );
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document.write( "Answer shows (-&#8734;,-8)u(-8,2)u(2,&#8734;)\r<BR>\n" );
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document.write( "I am coming up with (-&#8734;,-8)u(2,&#8734;)\r<BR>\n" );
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document.write( "Which is correct and why?\r<BR>\n" );
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document.write( "Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #165333 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=165333\">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=f%28x%29=+%28x%5E4%2B4%29%2F%28x%5E2%2B6x-16%29 ALIGN=MIDDLE  ALT=\"f%28x%29=+%28x%5E4%2B4%29%2F%28x%5E2%2B6x-16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "They are right.<BR>\n" );
document.write( "Here's why.<BR>\n" );
document.write( "Your domain is all real values of x EXCEPT x = -8 and x = 2<BR>\n" );
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document.write( "(-<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=infinity ALIGN=MIDDLE  ALT=\"infinity\"   DISABLED_style= \"max-width:90%; height:auto;\" >,8) covers the interval from minus infinity < x < -8.<BR>\n" );
document.write( "(2,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=infinity ALIGN=MIDDLE  ALT=\"infinity\"   DISABLED_style= \"max-width:90%; height:auto;\" >) covers the interval from 2 < x < infinity.<BR>\n" );
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document.write( "you are missing the interval from -8 < x < 2 represented by:<BR>\n" );
document.write( "(-8,2)<BR>\n" );
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document.write( "number line would show that as follows:<BR>\n" );
document.write( "-<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=infinity ALIGN=MIDDLE  ALT=\"infinity\"   DISABLED_style= \"max-width:90%; height:auto;\" >-----------------------(-8)---------------------(2)----------------<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=infinity ALIGN=MIDDLE  ALT=\"infinity\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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