document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1020946>Question 1020946</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi there\r<BR>\n" );
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document.write( "My question is: For each pair of functions, obtain a formula for f(g(x)) and also for g(f(x))\r<BR>\n" );
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document.write( "f(x)=2x+3<BR>\n" );
document.write( "g(x)=3x+2\r<BR>\n" );
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document.write( "Can you show ALL your working to perhaps help me to understand better - would be very much appreciated<BR>\n" );
document.write( "Thanks so much </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #636752 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=636752\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> f(g(x) means apply g(x) first then apply f(x)<BR>\n" );
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document.write( ": we are given f(x)=2x+3 and g(x)=3x+2<BR>\n" );
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document.write( "f(3x+2) = 2(3x+2)+3<BR>\n" );
document.write( ": we substitute g(x) for x in f(x)<BR>\n" );
document.write( "f(g(x) = 6x+4+3 = 6x+7<BR>\n" );
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document.write( "g(2x+3) = 3(2x+3)+2<BR>\n" );
document.write( "g(f(x)) = 6x+9+2 = 6x+11<BR>\n" );
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document.write( " </SPAN>\n" );
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