document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=437174>Question 437174</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the domain of  f(x)=(&#8730;(4-x))/(|x|-2) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #302429 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=302429\">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%284-x%29%2F%28abs%28x%29+-+2%29 ALIGN=MIDDLE  ALT=\"f%28x%29+=+sqrt%284-x%29%2F%28abs%28x%29+-+2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The domain of the numerator is (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-infinity ALIGN=MIDDLE  ALT=\"-infinity\"   DISABLED_style= \"max-width:90%; height:auto;\" >, 4].<BR>\n" );
document.write( "The domain of the denominator is the set of all real numbers EXCEPT 2 and -2.<BR>\n" );
document.write( "Get the intersection of the two domains:<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;\" >, -2) U(-2, 2)U(2, 4]<BR>\n" );
document.write( "Since no other elements of this set will make the denominator 0, this is the final answer. </SPAN>\n" );
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