document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1050523>Question 1050523</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given<BR>\n" );
document.write( "f(x) = 2x2 + 1<BR>\n" );
document.write( " and<BR>\n" );
document.write( "g(x) = 8x &#8722; 9,<BR>\n" );
document.write( " find the following.<BR>\n" );
document.write( "(a)<BR>\n" );
document.write( "f(g(2))\r<BR>\n" );
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document.write( "(b)<BR>\n" );
document.write( "f(g(x))\r<BR>\n" );
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document.write( "(c)<BR>\n" );
document.write( "g(f(x))\r<BR>\n" );
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document.write( "(d)<BR>\n" );
document.write( "(g of g)\r<BR>\n" );
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document.write( "(e)<BR>\n" );
document.write( "(f 0f f)(-2)<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 #666092 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=666092\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given<BR>\n" );
document.write( "f(x) = 2x^2 + 1<BR>\n" );
document.write( "and<BR>\n" );
document.write( "g(x) = 8x &#8722; 9,<BR>\n" );
document.write( "find the following::\r<BR>\n" );
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document.write( "(a)<BR>\n" );
document.write( "f(g(2)) = f(8*2-9) = f(7) = 2*7^2+1 = 2*49+1 = 99<BR>\n" );
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document.write( "(b)<BR>\n" );
document.write( "f(g(x)) = f(8x-9) = 2(8x-9)^2 + 1 = etc.<BR>\n" );
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document.write( "(c)<BR>\n" );
document.write( "g(f(x)) = g(2x^2+1) = 8(2x^2+1)-9 = 16x^2 -1<BR>\n" );
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document.write( "(d)<BR>\n" );
document.write( "(g of g) = g(g(x) = g(8x-9) = 8(8x-9)-9 = 64x-81<BR>\n" );
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document.write( "(e)<BR>\n" );
document.write( "(fof)(-2) = f(f(-2)) = f(2*(-2)^2+1) = f(9) = 2*9^2+1 = 163<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "------------ </SPAN>\n" );
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