document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=805507>Question 805507</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If g(f(x)) = 9 - 6x, f(x) = 3x - 2, and g(x) = ax + b, then g(x) =\r<BR>\n" );
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document.write( "a) 21 - 18x<BR>\n" );
document.write( "b) 21 - 12x<BR>\n" );
document.write( "c) 10 - 2x<BR>\n" );
document.write( "d) 10 - x<BR>\n" );
document.write( "e) 5 - 2x<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #485286 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=485286\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Use the given f and g to form their composition g(f(x)).  Note that the definition for g uses  variables, \"a\" and \"b\".  \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28f%28x%29%29=a%283x-2%29%2Bb ALIGN=MIDDLE  ALT=\"g%28f%28x%29%29=a%283x-2%29%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3ax-2a%2Bb ALIGN=MIDDLE  ALT=\"3ax-2a%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "This expression needs to be equal to how the composition was first defined in the given information.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28f%28x%29%29=9-6x=3ax-2a%2Bb ALIGN=MIDDLE  ALT=\"g%28f%28x%29%29=9-6x=3ax-2a%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9-6x=b-2a%2B3ax ALIGN=MIDDLE  ALT=\"9-6x=b-2a%2B3ax\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Look at the corresponding parts.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9=b-2a ALIGN=MIDDLE  ALT=\"9=b-2a\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-6x=3ax ALIGN=MIDDLE  ALT=\"-6x=3ax\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( ".<BR>\n" );
document.write( "The second equation here shows <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-6=3a ALIGN=MIDDLE  ALT=\"-6=3a\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28a=-2%29 ALIGN=MIDDLE  ALT=\"highlight%28a=-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Allowing you to solve for b, in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9=b-2a ALIGN=MIDDLE  ALT=\"9=b-2a\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9=b-2%28-2%29 ALIGN=MIDDLE  ALT=\"9=b-2%28-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9=b%2B4 ALIGN=MIDDLE  ALT=\"9=b%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28b=5%29 ALIGN=MIDDLE  ALT=\"highlight%28b=5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "NOW, you finish finding g(x). </SPAN>\n" );
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