document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=330567>Question 330567</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine the domain of f in f(x)=10-square root of 3-x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #236954 by </B><A HREF=/tutors/aboutme.mpl?userid=nyc_function><B>nyc_function(2741)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nyc_function><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=nyc_function><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=236954\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We have f(x) = 10 - sqrt[3 - x].\r<BR>\n" );
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document.write( "Set what lies in the radicand to be greater than or equal to zero and then solve for x.\r<BR>\n" );
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document.write( "3 - x  &#8805; 0\r<BR>\n" );
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document.write( "-x &#8805; -3\r<BR>\n" );
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document.write( "Since we are dividing by a negative number, the inequality sign must by reversed. \r<BR>\n" );
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document.write( "x &#8804; -3/-1\r<BR>\n" );
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document.write( "x &#8804; 3\r<BR>\n" );
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document.write( "This makes sense because any number bigger than 3 that we replace x with in the radicand will make your square root undefined. \r<BR>\n" );
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document.write( "The domain is: ALL REAL NUMBERS EXCEPT THAT X MUST BE LESS THAN OR EQUAL TO 3. \r<BR>\n" );
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