document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=982998>Question 982998</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For this problem, let f(x) = 3x^2 - 1 and g(x) = 2x + 5.\r<BR>\n" );
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document.write( "Find f(g(-4)) and g(f(-4)).\r<BR>\n" );
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document.write( "The books answer is 26;99. I'm not sure how to solve this. Please show me how it's done. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #603783 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=603783\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> f(x) = 3x^2 - 1\r<BR>\n" );
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document.write( "f(x) = 3(x)^2 - 1\r<BR>\n" );
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document.write( "f(g(x)) = 3(g(x))^2 - 1 ... replace every x with g(x)\r<BR>\n" );
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document.write( "f(g(x)) = 3(2x + 5)^2 - 1 ... replace the g(x) on the right side with 2x+5\r<BR>\n" );
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document.write( "f(g(-4)) = 3(2(-4) + 5)^2 - 1 ... replace every x with -4. Now evaluate\r<BR>\n" );
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document.write( "f(g(-4)) = 3(-8 + 5)^2 - 1\r<BR>\n" );
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document.write( "f(g(-4)) = 3(-3)^2 - 1\r<BR>\n" );
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document.write( "f(g(-4)) = 3(9) - 1\r<BR>\n" );
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document.write( "f(g(-4)) = 27 - 1\r<BR>\n" );
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document.write( "f(g(-4)) = 26\r<BR>\n" );
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document.write( "I'll let you do the other part. </SPAN>\n" );
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