document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1141925>Question 1141925</A>: <I><SPAN STYLE=\"word-break: break-all;\"> F(x)=10x<BR>\n" );
document.write( "G(x)=x+3<BR>\n" );
document.write( " <BR>\n" );
document.write( "Find 1. F(g)(x)<BR>\n" );
document.write( "     2. The inverse of f(g)<BR>\n" );
document.write( "      3. The inverse of g(f)<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 #762628 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=762628\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Don't mix cases.  In a single problem, F(x) and f(x) could be very different functions.<br><BR>\n" );
document.write( "1. f(g(x)) = f(x+3) = 10(x+3)<br><BR>\n" );
document.write( "2. inverse of f(g)<br><BR>\n" );
document.write( "g adds 3 to the input; f multiplies the input by 10.<BR>\n" );
document.write( "So f(g(x)) adds 3 to the input and then multiplies it by 10.<BR>\n" );
document.write( "The inverse does the opposite operations in the opposite order: divide by 10 and subtract 3.<br><BR>\n" );
document.write( "ANSWER: inverse of f(g(x)) = (x/10)-3<br><BR>\n" );
document.write( "3. inverse of g(f)<br><BR>\n" );
document.write( "(similar explanation...)<br><BR>\n" );
document.write( "ANSWER: inverse of g(f(x)) = (x-3)/10<br> </SPAN>\n" );
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