document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=513411>Question 513411</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the domain of g(x)=sqrt(1-x)\r<BR>\n" );
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document.write( "its a homework and i cant figure it out<BR>\n" );
document.write( "my options are<BR>\n" );
document.write( "a. -infinity, 1<BR>\n" );
document.write( "b. 1, infinity<BR>\n" );
document.write( "c. and all real numbers<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #342996 by </B><A HREF=/tutors/aboutme.mpl?userid=tinbar><B>tinbar(133)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=tinbar><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=342996\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> So the domain is pretty much a set of numbers that 'works' for the given function. In this case, you'll notice the only thing that might cause problems is the sqrt part. Clearly you CANNOT take sqrt of negative numbers. Like the sqrt(-5) does not exist (Why? If you cannot figure it out, assume it does exist, then it's either positive or negative, but then what?...)\r<BR>\n" );
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document.write( "Anyway, you cannot let the argument of the sqrt be negative. In this case, the part in the sqrt, 1-x, cannot be less than 0. \r<BR>\n" );
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document.write( "We want 1-x>=0, rearranging gives x>=1. So we want all numbers in the set of 1 to +infinity, which is choice b for you. </SPAN>\n" );
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