document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=617608>Question 617608</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help find the domain of the composite function f o g<BR>\n" );
document.write( "f(x) = &#8730;2-x - 3; g(x)|2X-1| =   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #388426 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=388426\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Please help find the domain of the composite function f o g<BR>\n" );
document.write( "f(x) = &#8730;2-x - 3; g(x)|2X-1| = <BR>\n" );
document.write( "---------<BR>\n" );
document.write( "fog = f[|2x-1|] = sqrt[2-|2x-1|] - 3<BR>\n" );
document.write( "----<BR>\n" );
document.write( "2 - |2x-1| must be >= 0<BR>\n" );
document.write( "|2x-1 <= 2<BR>\n" );
document.write( "-2 <= 2x-1 <= 2<BR>\n" );
document.write( "-1 <= 2x <= 3<BR>\n" );
document.write( "-1/2 <= x <= 3/2 <BR>\n" );
document.write( "----<BR>\n" );
document.write( "That is the domain.<BR>\n" );
document.write( "=========================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );