document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=50959>Question 50959</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the domain of g(x)=(sqrt)5-x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #33984 by </B><A HREF=/tutors/aboutme.mpl?userid=tutorcecilia><B>tutorcecilia(2152)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=tutorcecilia><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=tutorcecilia><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=33984\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> [The radican (5-x) must be greater than or equal to zero because you cannot find the square root of a negative number.  If the radicand is negative, it is an imaginary number.<BR>\n" );
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document.write( "g(x)=(sqrt)5-x [Set 5-x>=0]<BR>\n" );
document.write( "5-x>=0 [solve for x]<BR>\n" );
document.write( "5>=x or x<=5 [Same value]<BR>\n" );
document.write( "Than, the domain or all of the possible values for \"x\", must be less than or equal to 5.  Try a test case.  Pick the numbers 4 and 6.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%284%29=%28sqrt%285-4%29%29 ALIGN=MIDDLE  ALT=\"g%284%29=%28sqrt%285-4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%284%29=%28sqrt%281%29%29 ALIGN=MIDDLE  ALT=\"g%284%29=%28sqrt%281%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1 [OK]<BR>\n" );
document.write( "4<=5 [This is a true statement]<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%286%29=%28sqrt%285-6%29%29 ALIGN=MIDDLE  ALT=\"g%286%29=%28sqrt%285-6%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%286%29=%28sqrt%285-6%29%29 ALIGN=MIDDLE  ALT=\"g%286%29=%28sqrt%285-6%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%286%29=%28sqrt%28-1%29%29 ALIGN=MIDDLE  ALT=\"g%286%29=%28sqrt%28-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > [imaginary number]<BR>\n" );
document.write( "So, 6<=5 is a false statement.\r<BR>\n" );
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