document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=164364>Question 164364</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given f(x)=2x+3 and g(x)=3x-4, determine (FoG)^-1(x) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #121076 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=121076\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given f(x)=2x+3 and g(x)=3x-4, determine (FoG)^-1(x)<BR>\n" );
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document.write( "Determine fog(x)<BR>\n" );
document.write( "fog(x) = f[g(x)] = f[3x-4] = 2(3x-4) + 3 = 6x-5<BR>\n" );
document.write( "So you have y = 6x-5<BR>\n" );
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document.write( "Determine [fog(x)]^-1:<BR>\n" );
document.write( "Interchange x and y:<BR>\n" );
document.write( "x = 6y-5<BR>\n" );
document.write( "Solve for y:<BR>\n" );
document.write( "y = (1/6)x + (5/4)<BR>\n" );
document.write( "That is [fog(x)]^-1<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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