document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1012368>Question 1012368</A>: <I><SPAN STYLE=\"word-break: break-all;\"> functions f and g are defined as follows:\r<BR>\n" );
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document.write( "f(x)=x^5 and g(x()= 1/x+1\r<BR>\n" );
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document.write( "Evaluate f(2), f(-1), g(0).\r<BR>\n" );
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document.write( "write down f(g(x)) and g(f(x)) as functions of x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #628274 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=628274\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> f(x) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E5 ALIGN=MIDDLE  ALT=\"x%5E5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "when x = 2, you replace x with 2 to get f(2) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E5 ALIGN=MIDDLE  ALT=\"2%5E5\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 32\r<BR>\n" );
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document.write( "when x = -1, you replace x with -1 to get f(-1) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-1%29%5E5 ALIGN=MIDDLE  ALT=\"%28-1%29%5E5\"   DISABLED_style= \"max-width:90%; height:auto;\" >= -1\r<BR>\n" );
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document.write( "g(x) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28x%2B1%29 ALIGN=MIDDLE  ALT=\"1%2F%28x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "when x = 0, you replace x with 0 to get g(0) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%280%2B1%29 ALIGN=MIDDLE  ALT=\"1%2F%280%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1/1 = 1\r<BR>\n" );
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document.write( "f(x) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E5 ALIGN=MIDDLE  ALT=\"x%5E5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "g(x) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28x%2B1%29 ALIGN=MIDDLE  ALT=\"1%2F%28x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "f(g(x)) means you replace x with g(x) to get f(g(x)) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28g%28x%29%29%5E5 ALIGN=MIDDLE  ALT=\"%28g%28x%29%29%5E5\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "since g(x) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28x%2B1%29 ALIGN=MIDDLE  ALT=\"1%2F%28x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then you replace g(x) with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28x%2B1%29 ALIGN=MIDDLE  ALT=\"1%2F%28x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get f(g(x)) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F%28x%2B1%29%29%5E5 ALIGN=MIDDLE  ALT=\"%281%2F%28x%2B1%29%29%5E5\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "therefore f(g(x)) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F%28x%2B1%29%29%5E5 ALIGN=MIDDLE  ALT=\"%281%2F%28x%2B1%29%29%5E5\"   DISABLED_style= \"max-width:90%; height:auto;\" > when f(x) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E5 ALIGN=MIDDLE  ALT=\"x%5E5\"   DISABLED_style= \"max-width:90%; height:auto;\" > and g(x) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28x%2B1%29 ALIGN=MIDDLE  ALT=\"1%2F%28x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "g(f(x)) means you replace x with f(x) to get g(f(x)) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28f%28x%29%2B1%29 ALIGN=MIDDLE  ALT=\"1%2F%28f%28x%29%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "since f(x) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E5 ALIGN=MIDDLE  ALT=\"x%5E5\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then you replace f(x) with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E5 ALIGN=MIDDLE  ALT=\"x%5E5\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get g(f(x)) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28x%5E5%2B1%29 ALIGN=MIDDLE  ALT=\"1%2F%28x%5E5%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "therefore g(f(x)) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28x%5E5%2B1%29 ALIGN=MIDDLE  ALT=\"1%2F%28x%5E5%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > when g(x) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28x%2B1%29 ALIGN=MIDDLE  ALT=\"1%2F%28x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and f(x) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E5 ALIGN=MIDDLE  ALT=\"x%5E5\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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