document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1031181>Question 1031181</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the functions f &#9675; g  and g &#9675; f.\r<BR>\n" );
document.write( "\n" );
document.write( "f(x)=5x-9  ;  g(x)=1/5(x+9)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(f &#9675; g)(x) = 	<BR>\n" );
document.write( " <BR>\n" );
document.write( "(g &#9675; f)(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 #645915 by </B><A HREF=/tutors/aboutme.mpl?userid=Cromlix><B>Cromlix(4381)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Cromlix><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=Cromlix><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=645915\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi there,<BR>\n" );
document.write( "f(x) = 5x - 9<BR>\n" );
document.write( "g(x) = 1/5(x + 9)<BR>\n" );
document.write( "(f o g)(x) = 5(1/5(x + 9) - 9)<BR>\n" );
document.write( "(f o g)(x) = (x + 9)- 9<BR>\n" );
document.write( "(f o g)(x) = x + 9 - 9<BR>\n" );
document.write( "(f o g)(x) = x<BR>\n" );
document.write( ".........<BR>\n" );
document.write( "(g o f)(x) = 1/5(5x - 9 + 9)<BR>\n" );
document.write( "g o f)(x) = 1/5(5x)<BR>\n" );
document.write( "(g o f)(x) = x<BR>\n" );
document.write( ".........<BR>\n" );
document.write( "The reason for the answer of 'x'<BR>\n" );
document.write( "in both cases is f(x) is the inverse<BR>\n" );
document.write( "of g(x) and g(x) is the inverse of f(x)<BR>\n" );
document.write( "Hope this helps :-) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );