document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=595884>Question 595884</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. Let f(x)= (x^2)-5 and g(x)= (3x)^2. Find g(f(x)).\r<BR>\n" );
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document.write( "ANSWER CHOICES<BR>\n" );
document.write( "A. (3x^4)-(30x^2)+75<BR>\n" );
document.write( "B. (3x^4)-15<BR>\n" );
document.write( "C. (3x^4)-5<BR>\n" );
document.write( "D. (9x^4)-5\r<BR>\n" );
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document.write( "2. Let f(x)= (x^2)-4 and g(x)= (-3x)^2. Find f(g(x)).\r<BR>\n" );
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document.write( "ANSWER CHOICES<BR>\n" );
document.write( "A.(-3x^4)+12<BR>\n" );
document.write( "B.(-3x^4)+ (24x^2)-48<BR>\n" );
document.write( "C.(9x^4)-4<BR>\n" );
document.write( "D.(-3x^4)-4\r<BR>\n" );
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document.write( "NOTE: Please help me with both questions.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #377356 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=377356\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> # 1\r<BR>\n" );
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document.write( "Simply start with g(x) = 3x^2 and replace 'x' with f(x). Then replace f(x) <BR>\n" );
document.write( "on the right side with x^2-5 and simplify.\r<BR>\n" );
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document.write( "g(x) = 3x^2\r<BR>\n" );
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document.write( "g(f(x)) = 3(f(x))^2\r<BR>\n" );
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document.write( "g(f(x)) = 3(x^2-5)^2\r<BR>\n" );
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document.write( "g(f(x)) = 3(x^4 - 10x^2 + 25)\r<BR>\n" );
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document.write( "g(f(x)) = 3x^4 - 30x^2 + 75\r<BR>\n" );
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document.write( "So the answer is choice A\r<BR>\n" );
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document.write( "# 2\r<BR>\n" );
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document.write( "Same idea as in #1, but now in reverse.\r<BR>\n" );
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document.write( "f(x) = x^2 - 4\r<BR>\n" );
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document.write( "f(g(x)) = (g(x))^2 - 4\r<BR>\n" );
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document.write( "f(g(x)) = (-3x^2)^2 - 4\r<BR>\n" );
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document.write( "f(g(x)) = 9x^4 - 4\r<BR>\n" );
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document.write( "So the answer is choice C\r<BR>\n" );
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