document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=253855>Question 253855</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do you solve this problem f[g(-2)] ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #186218 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=186218\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> assume the following as an example:\r<BR>\n" );
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document.write( "f(x) = x^2\r<BR>\n" );
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document.write( "g(x) = 3x+2\r<BR>\n" );
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document.write( "you want to find (f(g(-2))\r<BR>\n" );
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document.write( "start with g(x) = 3x+2\r<BR>\n" );
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document.write( "you want to find g(-2).\r<BR>\n" );
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document.write( "replace x with (-2) to get:\r<BR>\n" );
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document.write( "g(-2) = 3*(-2) + 2 = -6 + 2 = -4\r<BR>\n" );
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document.write( "you have g(-2) = -4\r<BR>\n" );
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document.write( "now you want to find f(g(-2)).\r<BR>\n" );
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document.write( "start with f(x) = x^2\r<BR>\n" );
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document.write( "replace x with g(-2) to get:\r<BR>\n" );
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document.write( "f(g(-2)) = (g(-2))^2\r<BR>\n" );
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document.write( "since g(-2) = -4, then replace g(-2) with -4 to get:\r<BR>\n" );
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document.write( "f(-4) = (-4)^2 = 16\r<BR>\n" );
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document.write( "you have f(g(-2)) = 16\r<BR>\n" );
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document.write( "----------------------------------------------------------------------\r<BR>\n" );
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document.write( "Here's another example.\r<BR>\n" );
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document.write( "let f(x) = sqrt(x)\r<BR>\n" );
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document.write( "let g(x) = x^3 + 3x^2 - 5\r<BR>\n" );
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document.write( "you want to find f(g(3))\r<BR>\n" );
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document.write( "first thing you want to do is find g(3).\r<BR>\n" );
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document.write( "since g(x) = x^3 + 3x^2 - 5, you replace x with 3 to get:\r<BR>\n" );
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document.write( "g(3) = (3)^3 + 3*(3)^2 - 5 = 27 + 27 - 5 = 49.\r<BR>\n" );
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document.write( "you now want to find f(g(3)) \r<BR>\n" );
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document.write( "start with f(x) = sqrt(x).\r<BR>\n" );
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document.write( "replace x with g(3) to get:\r<BR>\n" );
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document.write( "f(g(3)) = sqrt(g(3))\r<BR>\n" );
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document.write( "since g(3) = 49, then replace g(3) with 49 to get:\r<BR>\n" );
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document.write( "f(49) = sqrt(49) = 7.\r<BR>\n" );
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document.write( "you have f(g(3)) = 7\r<BR>\n" );
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document.write( "to keep this in the abstract, here's what's happening.\r<BR>\n" );
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document.write( "let f(x) = 5*x\r<BR>\n" );
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document.write( "let g(x) = 2*x\r<BR>\n" );
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document.write( "you want f(g(x)).\r<BR>\n" );
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document.write( "look at f(x) = 5*x\r<BR>\n" );
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document.write( "replace x with g(x) to get:\r<BR>\n" );
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document.write( "f(g(x)) = 5*(g(x))\r<BR>\n" );
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document.write( "since g(x) = 2*x, then replace g(x) with 2*x to get:\r<BR>\n" );
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document.write( "f(2*x) = 5*(2*x) = 10*x\r<BR>\n" );
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document.write( "if you are still having problems, send me your equation and I'll solve it for you to show you how it's done.\r<BR>\n" );
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document.write( "if you have any questions, send them to me and I'll answer them as best I can.\r<BR>\n" );
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document.write( "you also might want to look at the following link.\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"http://www.wtamu.edu/academic/anns/mps/math/mathlab/col_algebra/col_alg_tut30b_operations.htm\" target = \"_blank\">http://www.wtamu.edu/academic/anns/mps/math/mathlab/col_algebra/col_alg_tut30b_operations.htm</a>\r<BR>\n" );
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document.write( " </SPAN>\n" );
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