document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=214738>Question 214738</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have to find the composition of functions! Can't figure this one out either!<BR>\n" );
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document.write( "g(x)=(x^2-16)^1/2     f(x)=(3-x)^1/2\r<BR>\n" );
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document.write( "Thanks for all the help!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #162175 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=162175\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Which composition(s) do you have to find? Do you have to find (f o g)(x) or (g o f)(x)? Or do you have to find (f o f)(x) or (g o g)(x)? Or is it something entirely different?\r<BR>\n" );
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document.write( "Finding (f o g)(x)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%283-x%29%5E%281%2F2%29%5E%22%22 ALIGN=MIDDLE  ALT=\"f%28x%29=%283-x%29%5E%281%2F2%29%5E%22%22\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given function.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28g%28x%29%29=%283-%28x%5E2-16%29%5E%281%2F2%29%29%5E%281%2F2%29%5E%22%22 ALIGN=MIDDLE  ALT=\"f%28g%28x%29%29=%283-%28x%5E2-16%29%5E%281%2F2%29%29%5E%281%2F2%29%5E%22%22\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29=%28x%5E2-16%29%5E%281%2F2%29 ALIGN=MIDDLE  ALT=\"g%28x%29=%28x%5E2-16%29%5E%281%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Since not much simplification is possible at this point, our answer is \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28g%28x%29%29=%283-%28x%5E2-16%29%5E%281%2F2%29%29%5E%281%2F2%29%5E%22%22 ALIGN=MIDDLE  ALT=\"f%28g%28x%29%29=%283-%28x%5E2-16%29%5E%281%2F2%29%29%5E%281%2F2%29%5E%22%22\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Note: you may want to covert to radical notation to get\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28g%28x%29%29=sqrt%283-sqrt%28x%5E2-16%29%29 ALIGN=MIDDLE  ALT=\"f%28g%28x%29%29=sqrt%283-sqrt%28x%5E2-16%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "This of course would depend on the book's/worksheet's/teacher's instructions. </SPAN>\n" );
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