document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=278657>Question 278657</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If F(x)=3x-2 and g(x)= 2x-1, then g(f(x)) is equal to what?\r<BR>\n" );
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document.write( "thank you, your help is very much appreciated. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #202732 by </B><A HREF=/tutors/aboutme.mpl?userid=nyc_function><B>nyc_function(2741)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nyc_function><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=nyc_function><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=202732\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> g(f(x)) means that the function g is composed at the function f.\r<BR>\n" );
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document.write( "You need to plug the value of f(x) into the function g and simplify.\r<BR>\n" );
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document.write( "g(x) = 2x - 1\r<BR>\n" );
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document.write( "Replace x with the value of f(x) which is 3x - 2 and simplify.\r<BR>\n" );
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document.write( "g(f(x)) = 2x - 1\r<BR>\n" );
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document.write( "g(3x - 2) = 2(3x - 2) - 1\r<BR>\n" );
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document.write( "g(3x - 2) = 6x - 4 - 1\r<BR>\n" );
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document.write( "g(3x - 2) = 6x - 5\r<BR>\n" );
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document.write( "So, g(f(x)) = 6x - 5\r<BR>\n" );
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