document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=930633>Question 930633</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Over the set of real numbers what is the domain of the composite function g(f(x))\r<BR>\n" );
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document.write( "F(x)=3 - x, G(y)=square root y<BR>\n" );
document.write( "G(F(X))=SQUARE ROOT 3-X\r<BR>\n" );
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document.write( "X>3<BR>\n" );
document.write( "X greater than equal to 3<BR>\n" );
document.write( "X less then equal to 3<BR>\n" );
document.write( "All real numbers  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #565197 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=565197\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For any real number <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >, you can get an <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=F%28x%29 ALIGN=MIDDLE  ALT=\"F%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "In other words, the domain of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=F%28x%29 ALIGN=MIDDLE  ALT=\"F%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is all the real numbers, with no restriction.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=G%28F%28x%29%29=sqrt%283-x%29 ALIGN=MIDDLE  ALT=\"G%28F%28x%29%29=sqrt%283-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > only exists when <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3-x%3E0 ALIGN=MIDDLE  ALT=\"3-x%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%3E=x ALIGN=MIDDLE  ALT=\"3%3E=x\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "so the domain of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=G%28F%28x%29%29 ALIGN=MIDDLE  ALT=\"G%28F%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is<BR>\n" );
document.write( "all real numbers <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >  such that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C=3 ALIGN=MIDDLE  ALT=\"x%3C=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > (x is less than or equal to 3). </SPAN>\n" );
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