document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1033652>Question 1033652</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given the function = In(x^2-1)/sin(2x)<BR>\n" );
document.write( "find the following f(f^-1(415)) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #649342 by </B><A HREF=/tutors/aboutme.mpl?userid=fractalier><B>fractalier(6550)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fractalier><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=fractalier><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=649342\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since a function undoes its inverse, we have<BR>\n" );
document.write( "f(f^-1(x)) = f^-1(f(x)) = x<BR>\n" );
document.write( "Thus<BR>\n" );
document.write( "f(f^-1(415)) = 415<BR>\n" );
document.write( "provided the inverse exists... </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );