document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=254823>Question 254823</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If f(x) = 2x +5 and g(x) = x – 3, find the inverse of f(g(x)) and write your<BR>\n" );
document.write( "answer as a single fraction in reduced form.<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 #187146 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=187146\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If f(x) = 2x +5 and g(x) = x – 3, find the inverse of f(g(x)) and write your<BR>\n" );
document.write( "answer as a single fraction in reduced form.<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "[f(g(x)]^-1 = g^-1(f^-1(x))<BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "f^-1 = (x-5)/2<BR>\n" );
document.write( "g^-1 = x+3<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "So [f(g(x)]^-1 = g^-1[(x-5)/2] = [(x-5)/2]+3 = [x-5+6]/2 = [x+1]/2<BR>\n" );
document.write( "======================================================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );