document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1070731>Question 1070731</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose that the functions g and h are defined as follows. \r<BR>\n" );
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document.write( "g(x) = 4/x, x is not 0\r<BR>\n" );
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document.write( "h(x) = x^2 -8\r<BR>\n" );
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document.write( "Find the compositions of g o g and h o h\r<BR>\n" );
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document.write( "simplify your answers as much as possible. \r<BR>\n" );
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document.write( "(g o g)( x) = _____\r<BR>\n" );
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document.write( "(h o h)(x) = ______\r<BR>\n" );
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document.write( "simplify your answer as much as possible. <BR>\n" );
document.write( "(Assume that your expressions are defined for all x in the domain of the composition. You do not have to indicate the domain). \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 #685749 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=685749\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (g o g)(x) = 4 / (4/x) = 4x / 4 = x<BR>\n" );
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document.write( "(h o h)(x) = (x^2 - 8)^2 - 8 = x^4 -16x^2 +64 - 8 = x^4 -16x^2 +56 =<BR>\n" );
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document.write( "(x^2 - 10.8285) * (x^2 - 5.1715)<BR>\n" );
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