document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=951517>Question 951517</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find f(g(x)) and g(f(x)) and their domains.<BR>\n" );
document.write( "f(x) = 4/(1-5x) and g(x) = 1/x<BR>\n" );
document.write( "I think i have f(g(x)) correct at 4x/(x+5) but I'm not sure if I am doing it correctly.  Can someone show me the steps, not just an answer.  thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #581107 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=581107\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We are asked to find f(g(x)) and g(f(x)) and their domains.<BR>\n" );
document.write( "f(x) = 4/(1-5x) and g(x) = 1/x<BR>\n" );
document.write( "1) f(g(x)) = 4/(1-5*(1/x)) = 4 / ( (x-5) / x ) = 4x / (x-5)<BR>\n" );
document.write( "domain is all real numbers except x = 5<BR>\n" );
document.write( "2) g(f(x)) = 1 / (4/(1-5x)) = (1-5x) / 4<BR>\n" );
document.write( "domain is all real numbers<BR>\n" );
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