document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1167404>Question 1167404</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%28x%29=+2-x%5E2+ ALIGN=MIDDLE  ALT=\"+f%28x%29=+2-x%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+g%28x%29+=+sqrt%28x%2B2%29+ ALIGN=MIDDLE  ALT=\"+g%28x%29+=+sqrt%28x%2B2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I get the following for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=fg%28x%29+=+-x ALIGN=MIDDLE  ALT=\"fg%28x%29+=+-x\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "2. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+g%28x%29+=+1%2Fx+ ALIGN=MIDDLE  ALT=\"+g%28x%29+=+1%2Fx+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I get the following for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=gg%28x%29+=+x ALIGN=MIDDLE  ALT=\"gg%28x%29+=+x\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "What are the domains? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #791999 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=791999\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Not fg(x).  If you are stating function composition then f(g(x)).\r<BR>\n" );
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document.write( "You ask about domain.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28g%28x%29%29=2-%28sqrt%28x%2B2%29%29%5E2 ALIGN=MIDDLE  ALT=\"f%28g%28x%29%29=2-%28sqrt%28x%2B2%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\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=2-%28x%2B2%29 ALIGN=MIDDLE  ALT=\"f%28g%28x%29%29=2-%28x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\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=2-x-2 ALIGN=MIDDLE  ALT=\"f%28g%28x%29%29=2-x-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\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=2-2-x ALIGN=MIDDLE  ALT=\"f%28g%28x%29%29=2-2-x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\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=-x ALIGN=MIDDLE  ALT=\"f%28g%28x%29%29=-x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "But look again at the original composition.  Necessary is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3E=-2 ALIGN=MIDDLE  ALT=\"x%3E=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Otherwise, f(g(x)) not a \"Real\" number. </SPAN>\n" );
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