document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=905077>Question 905077</A>: <I><SPAN STYLE=\"word-break: break-all;\"> PLEASE HELP!<BR>\n" );
document.write( "Complete the following steps in the evaluation of composition functions:\r<BR>\n" );
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document.write( "http://i.imgur.com/GF6gvXN.png </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #549013 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=549013\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I'll do part (a) to get you started\r<BR>\n" );
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document.write( "(f o g)(x) is the same as f(g(x))\r<BR>\n" );
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document.write( "Replace x with 2 to get (f o g)(2) = f(g(2))\r<BR>\n" );
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document.write( "So 2 goes in the first box\r<BR>\n" );
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document.write( "Now we need to compute g(2)\r<BR>\n" );
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document.write( "g(x) = 7 - x^2\r<BR>\n" );
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document.write( "g(2) = 7 - (2)^2\r<BR>\n" );
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document.write( "g(2) = 7 - 4\r<BR>\n" );
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document.write( "g(2) = 3\r<BR>\n" );
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document.write( "The number 3 goes in the next box\r<BR>\n" );
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document.write( "So we know f(g(2)) = f(3)\r<BR>\n" );
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document.write( "Now we need to find f(3)\r<BR>\n" );
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document.write( "f(x) = 2x - 3\r<BR>\n" );
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document.write( "f(3) = 2(3) - 3\r<BR>\n" );
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document.write( "f(3) = 6 - 3\r<BR>\n" );
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document.write( "f(3) = 3\r<BR>\n" );
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document.write( "and 3 goes in the last box for part (a)\r<BR>\n" );
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document.write( "To summarize\r<BR>\n" );
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document.write( "(f o g)(2) = f(g(<font color=\"red\">2</font>)) = f(<font color=\"red\">3</font>) = <font color=\"red\">3</font>\r<BR>\n" );
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