document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=38520>Question 38520</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Let f= 1 2 3 4 5 <BR>\n" );
document.write( "       2 3 1 5 4  \r<BR>\n" );
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document.write( "and <BR>\n" );
document.write( "  <BR>\n" );
document.write( "g= 1 2 3 4 5 <BR>\n" );
document.write( "   3 4 2 5 1.\r<BR>\n" );
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document.write( "What is f inverse -1?<BR>\n" );
document.write( "Write fog as a product of disjoint cycles.Is fog even?why?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #24160 by </B><A HREF=/tutors/aboutme.mpl?userid=khwang><B>khwang(438)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=khwang><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=24160\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Let f= 1 2 3 4 5 <BR>\n" );
document.write( "       2 3 1 5 4  \r<BR>\n" );
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document.write( "and <BR>\n" );
document.write( "  <BR>\n" );
document.write( "g= 1 2 3 4 5 <BR>\n" );
document.write( "   3 4 2 5 1.\r<BR>\n" );
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document.write( "What is f inverse -1?<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%5E-1+ ALIGN=MIDDLE  ALT=\"f%5E-1+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( " = (1 2 3 4 5)<BR>\n" );
document.write( "   (3 1 2 5 4)<BR>\n" );
document.write( "               <BR>\n" );
document.write( "Write fog as a product of disjoint cycles.Is fog even?why?<BR>\n" );
document.write( " if you define fog (x) = f(g(x)) then<BR>\n" );
document.write( " fog = <BR>\n" );
document.write( " (1 2 3 4 5)<BR>\n" );
document.write( " (1 5 3 4 2) <BR>\n" );
document.write( " as disjoint cycles, it is<BR>\n" );
document.write( " (2 ,5) <BR>\n" );
document.write( " one transpoition, hence it is odd.\r<BR>\n" );
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document.write( " You have to work hard.<BR>\n" );
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document.write( " Kenny\r<BR>\n" );
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document.write( "  <BR>\n" );
document.write( " <BR>\n" );
document.write( " \r<BR>\n" );
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document.write( " </SPAN>\n" );
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