document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1151339>Question 1151339</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Let f(x) = 3x^2 and g(x)=3-x Evaluate:<BR>\n" );
document.write( "(A) (FG)(5)<BR>\n" );
document.write( "(B)(F/G)(5)<BR>\n" );
document.write( "(C)(FoG)(5) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #773076 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=773076\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> f(x) = 3x^2<BR>\n" );
document.write( "g(x) = 3 - x\r<BR>\n" );
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document.write( "f(5) - 3 * 5^2 = 75<BR>\n" );
document.write( "g(5) = 3 - 5 = -2\r<BR>\n" );
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document.write( "(f * g)(5) = 75 * -2 = -150 ***** 1\r<BR>\n" );
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document.write( "(f / g)(5) = 75 / -2 = -37.5 ***** 2\r<BR>\n" );
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document.write( "(f o g)(5) = f(-2) = 3 * (-2)^2 = 3 * 4 = 12 ***** 3\r<BR>\n" );
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document.write( "you can solve the function first and then replace x with 5 and you should get the same answer.\r<BR>\n" );
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document.write( "f(x) = 3x^2<BR>\n" );
document.write( "g(x) = 3 - x\r<BR>\n" );
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document.write( "(f * g)(x) = f(x) * g(x) = 3x^2 * (3 - x) = 9x^2 - 3x^3.<BR>\n" );
document.write( "when x = 5, this becomes 9 * 5^2 - 3 * 5^3 which becomes 9 * 25 - 3 * 125 which becomes 225 - 375 which becomes - 150 ***** 1\r<BR>\n" );
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document.write( "(f / g)(x) = f(x) / g(x) = 3x^2 / (3-x).<BR>\n" );
document.write( "when x = 5, this becomes 3 * 5^2 / (3 - 5) which becomes 3 * 25 / -2 which becomes 75 / -2 which becomes -37.5 ***** 2\r<BR>\n" );
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document.write( "(f o g)(x) = f(f(x)) = f(3-x) = 3 * (3-x)^2 = 3 * (9 - 6x + x^2) = 27 - 18x + 3x^2.<BR>\n" );
document.write( "when x = 5, this becomes 27 - 18 * 5 + 3 * 25 which becomes 27 - 90 + 75 which becomes 27 - 15 = 12 ***** 3\r<BR>\n" );
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document.write( "either way, you get the same answer.\r<BR>\n" );
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document.write( "here's some references you might find helpful.\r<BR>\n" );
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