document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=405745>Question 405745</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the domain of f of g of x if f(x)= square root of x-6 and g(x)= 1/x^2-2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #286534 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=286534\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What is the domain of f of g of x if <BR>\n" );
document.write( "f(x)= square root of x-6 and g(x)= 1/x^2-2<BR>\n" );
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document.write( "f(g(x)) = f(1/(x^2-2)) = sqrt[1/(x^2-2) -6]<BR>\n" );
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document.write( "Domain of g is All Real numbers except +-sqrt(2)<BR>\n" );
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document.write( "Domain of f is All Real number >- 6<BR>\n" );
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document.write( "Therefore the Domain of f(g(x)) is all Real Numbers<BR>\n" );
document.write( ">= -6 except x = +-sqrt(2.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. <BR>\n" );
document.write( " </SPAN>\n" );
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