document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=941424>Question 941424</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given the function f(x) = (2x-4)/x<BR>\n" );
document.write( "and x belongs to the real numbers and x does not equal zero, find\r<BR>\n" );
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document.write( "f^2(x) \r<BR>\n" );
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document.write( "The answer given in the textbook is 4 / (2-x).\r<BR>\n" );
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document.write( "I can not understand how to get this answer.<BR>\n" );
document.write( "I think f^2(x) = ff(x) but I don't know how to do this function. <BR>\n" );
document.write( "Any help at all would be appreciated very much. I've spent over an hour trying to work this out.\r<BR>\n" );
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document.write( "Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #573855 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=573855\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given the function f(x) = (2x-4)/x<BR>\n" );
document.write( " and x belongs to the real numbers and x does not equal zero, find <BR>\n" );
document.write( "f^2(x) <BR>\n" );
document.write( "The answer given in the textbook is 4 / (2-x). <BR>\n" );
document.write( "I can not understand how to get this answer.<BR>\n" );
document.write( " I think f^2(x) = ff(x) but I don't know how to do this function.<BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "fof(x) = f[(2x-4)/x]<BR>\n" );
document.write( "So, replace \"x\" in f(x) with (2x-4)/x to get <BR>\n" );
document.write( "= [2[(2x-4)/x)-4]/[(2x-4)/x]<BR>\n" );
document.write( "------<BR>\n" );
document.write( "= [(4x-8)/x - 8]/[(2x-4)/x]<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "= [(4x-8-8x]/x] / [(2x-4)/x]<BR>\n" );
document.write( "------<BR>\n" );
document.write( "= [(-4x-8)/x] / [(2x-4)/x]<BR>\n" );
document.write( "------<BR>\n" );
document.write( "Invert the denominator and multiply to get::<BR>\n" );
document.write( "= [-4(x+2)/x] * x/[2(x-2)]<BR>\n" );
document.write( "------<BR>\n" );
document.write( "Cancel \"x\" and \"2\" to get::<BR>\n" );
document.write( "= -2(x+2)/(x-2)<BR>\n" );
document.write( "====================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "--------------- </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );