document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1175270>Question 1175270</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Not sure if I chose the right topic for this question. But this is a college algebra class I am taking right now.\r<BR>\n" );
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document.write( "Find g(-4) and f(g(-4)).\r<BR>\n" );
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document.write( "f(x)= x2 - x + 5<BR>\n" );
document.write( "g(x)= 2x - 4\r<BR>\n" );
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document.write( "g(-4) = ?<BR>\n" );
document.write( "f(g(-4)) = ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #800864 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=800864\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> see my worksheet below.\r<BR>\n" );
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document.write( "step 1 shows the problem.\r<BR>\n" );
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document.write( "step t2 solves for f(g(x)) by replacing x in f(x) with (2x - 4) from g(x).\r<BR>\n" );
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document.write( "the result is that f(g(x)) = 4x^2 - 18x + 25.\r<BR>\n" );
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document.write( "step t3 replaces x with -4 in f(g(x)) to get the result of 161.\r<BR>\n" );
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document.write( "the alternative is to find g(-4) first by replacing x in g(x) with -4 to get -12.\r<BR>\n" );
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document.write( "step b2 replaces x in g(x) with -4) to get -12.\r<BR>\n" );
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document.write( "step b3 replaces g(-4) in f(g(-4) with -12 to get f(-12) which is equal to 161.\r<BR>\n" );
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document.write( "you get 161 either way.\r<BR>\n" );
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document.write( "let me know you have any questions about this.\r<BR>\n" );
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document.write( "here's a reference on composite functions that you might find informative.\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"https://www.storyofmathematics.com/composite-functions#:~:text=A%20composite%20function%20is%20generally,)%20and%20g%20(x).\" target = \"_blank\">https://www.storyofmathematics.com/composite-functions#:~:text=A%20composite%20function%20is%20generally,)%20and%20g%20(x).</a><BR>\n" );
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