document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=42719>Question 42719</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0131430920/algebrahomeworkh>college algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Can someone please help me solve this problem:\r<BR>\n" );
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document.write( "For what value of k is f(g(x)) = g(f(x))?\r<BR>\n" );
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document.write( "f(x)=3x+k   and g(x)=x-4/3      \r<BR>\n" );
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document.write( "I think when k is found we inverse it but I am drawing a blank - please help </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #27822 by </B><A HREF=/tutors/aboutme.mpl?userid=fractalier><B>fractalier(6550)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fractalier><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=fractalier><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=27822\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For the functions<BR>\n" );
document.write( "f(x) = 3x + k   and g(x) = x - 4/3<BR>\n" );
document.write( "we plug them into<BR>\n" );
document.write( "f(g(x)) = g(f(x))<BR>\n" );
document.write( "and find the k that makes them equal...so we get<BR>\n" );
document.write( "f(x - 4/3) = g(3x + k)<BR>\n" );
document.write( "3(x - 4/3) + k = 3x + k - 4/3<BR>\n" );
document.write( "3x - 4 + k = 3x + k - 4/3<BR>\n" );
document.write( "-4 = -4/3<BR>\n" );
document.write( "There is no solution.<BR>\n" );
document.write( "I have a feeling the problem has been described incorrectly...please have another look and resubmit it... </SPAN>\n" );
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