document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=783533>Question 783533</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the specified domain\r<BR>\n" );
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document.write( "For g(x)=&#8730;x+2 and h(x)= 1/x-3, what is the domain of h o g?\r<BR>\n" );
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document.write( "This is what I worked out but I am certain it is incorrect.\r<BR>\n" );
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document.write( "h(g(x))= 1/(&#8730;x+2)-3\r<BR>\n" );
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document.write( "x+2=0<BR>\n" );
document.write( "x=-2\r<BR>\n" );
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document.write( "Domain: (-&#8734;, -2)&#8746;(-2, &#8734;) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #476822 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=476822\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the specified domain <BR>\n" );
document.write( "For g(x)=&#8730;(x+2) and h(x)= 1/(x-3, what is the domain of h o g? <BR>\n" );
document.write( "This is what I worked out but I am certain it is incorrect.<BR>\n" );
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document.write( "h(g(x))= h[g(x)] = h[sqrt(x+2) = 1/[sqrt(x+2)-3] <BR>\n" );
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document.write( "x+2 must be >= 0<BR>\n" );
document.write( "x must be >= -2<BR>\n" );
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document.write( "But: sqrt(x+2)-3 cannot be zero.<BR>\n" );
document.write( "sqrt(x+2) # 3<BR>\n" );
document.write( "x+2 # 9<BR>\n" );
document.write( "x # 7<BR>\n" );
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document.write( "Domain of hog is [-2,7)U(7,+oo)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( " </SPAN>\n" );
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