document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=156166>Question 156166</A>: <I><SPAN STYLE=\"word-break: break-all;\"> CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM:\r<BR>\n" );
document.write( "\n" );
document.write( "If f(g(x)) = g(f(x)) = x, then whay can we say about f(x) and g(x)?\r<BR>\n" );
document.write( "\n" );
document.write( "a. they are functional inverses of each other <BR>\n" );
document.write( "b. f(x) = g(x)<BR>\n" );
document.write( "c. f(x) = g(x) = x<BR>\n" );
document.write( "d. nothing can be said about f(x) and g(x)<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #115031 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=115031\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Remember, if f(x) and g(x) are inverses of one another, then we can say that f(g(x))=x and g(f(x))=x. So this means that the answer is a) they are functional inverses of each other \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Note: we know nothing about f(x) and g(x). So we cannot just blindly assume that f(x)=g(x) or f(x)=g(x)=x without some evidence. So this rules our choices b) and c).  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );