document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=445223>Question 445223</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Which of the following is the domain of the function G(F(x))?\r<BR>\n" );
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document.write( "F(x) = x + 6, G(y) =4/(square root)y\r<BR>\n" );
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document.write( "G(F(x)) =4/(square root)x+6<BR>\n" );
document.write( "  		A. 	All numbers less than -6<BR>\n" );
document.write( "  		B. 	All numbers less than or equal to -6<BR>\n" );
document.write( "  		C. 	All numbers greater than -6<BR>\n" );
document.write( "  		D. 	All numbers greater than or equal to -6 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #306752 by </B><A HREF=/tutors/aboutme.mpl?userid=swincher4391><B>swincher4391(1107)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=swincher4391><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=swincher4391><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=306752\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> G(f(x)) means take what is in f(x) and put it into g. If we do this then we get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Fsqrt%28x%2B6%29 ALIGN=MIDDLE  ALT=\"4%2Fsqrt%28x%2B6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  So what does it mean for this function to be undefined? We have a couple things we need to worry about. Since this is a rational function (a fraction), we need to worry about dividing by 0. What values make this function have division by 0?  Well set x+6 =0.  So x = -6. We also cannot have the square root of a negative value.  So set x+6 <0. x < -6.  Since x cannot equal -6 or even be less than it, then all values greater than -6 is the correct domain. \r<BR>\n" );
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