document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1036655>Question 1036655</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find [f &#9675; (g &#9675; h)](2) if f(x) = 2x - 1, g(x) = 4x, and h(x) = x²+ 1\r<BR>\n" );
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document.write( "A.) 39<BR>\n" );
document.write( "B.) 32<BR>\n" );
document.write( "C.) 47<BR>\n" );
document.write( "D.) 129\r<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 #651382 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=651382\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Start with the inner most function h(x). Plug in x = 2.\r<BR>\n" );
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document.write( "h(x) = x^2+1<BR>\n" );
document.write( "h(2) = 2^2+1<BR>\n" );
document.write( "h(2) = 4+1<BR>\n" );
document.write( "h(2) = 5\r<BR>\n" );
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document.write( "So (g o h)(2) = g(h(2)) = g(5). Let's find the value of g(5)\r<BR>\n" );
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document.write( "g(x) = 4x<BR>\n" );
document.write( "g(5) = 4*5 ... plug in x = 5<BR>\n" );
document.write( "g(5) = 20\r<BR>\n" );
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document.write( "That means\r<BR>\n" );
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document.write( "(g o h)(2) = g(h(2))<BR>\n" );
document.write( "(g o h)(2) = g(5)<BR>\n" );
document.write( "(g o h)(2) = 20\r<BR>\n" );
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document.write( "---------------------------------------------\r<BR>\n" );
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document.write( "[f o (g o h)](2) = f[ g(h(2)) ]<BR>\n" );
document.write( "[f o (g o h)](2) = f[ g(5) ]<BR>\n" );
document.write( "[f o (g o h)](2) = f[ 20 ]\r<BR>\n" );
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document.write( "Let's find the value of f(20)\r<BR>\n" );
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document.write( "f(x) = 2x - 1<BR>\n" );
document.write( "f(20) = 2*20 - 1<BR>\n" );
document.write( "f(20) = 40 - 1<BR>\n" );
document.write( "f(20) = 39\r<BR>\n" );
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document.write( "The final answer is A) 39.  </SPAN>\n" );
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