document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=898961>Question 898961</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the domain of the function algebraically  f(x)= square root( x^4-16x^2)\r<BR>\n" );
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document.write( "x^4-16x^2  > or equal to 0<BR>\n" );
document.write( "x^2(x^2-16) > or equal to 0<BR>\n" );
document.write( "x^2(x-4)(x+4) > or equal to 0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #545076 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=545076\">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=+sqrt%28+x%5E4-16x%5E2%29 ALIGN=MIDDLE  ALT=\"f%28x%29=+sqrt%28+x%5E4-16x%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=sqrt%28%28x%5E2%29%28x%5E2-16%29%29 ALIGN=MIDDLE  ALT=\"f%28x%29=sqrt%28%28x%5E2%29%28x%5E2-16%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=x%2Asqrt%28x%5E2-16%29 ALIGN=MIDDLE  ALT=\"f%28x%29=x%2Asqrt%28x%5E2-16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Your work appears on the right track.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-16%3E=0 ALIGN=MIDDLE  ALT=\"x%5E2-16%3E=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-4%29%28x%2B4%29%3E=0 ALIGN=MIDDLE  ALT=\"%28x-4%29%28x%2B4%29%3E=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Critical values for the domain are 4 and -4.  Three intervals of the x-axis<BR>\n" );
document.write( "can be checked.<BR>\n" );
document.write( "You will find the domain is the UNION of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x%3C-4%29 ALIGN=MIDDLE  ALT=\"highlight%28x%3C-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x%3E4%29 ALIGN=MIDDLE  ALT=\"highlight%28x%3E4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
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