document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=322023>Question 322023</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the smallest integer that is NOT in the domain of the function below?\r<BR>\n" );
document.write( "\n" );
document.write( "f(x)= squareroot of 4-x\r<BR>\n" );
document.write( "\n" );
document.write( "my answer is 5\r<BR>\n" );
document.write( "\n" );
document.write( "  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #230535 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=230535\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The domain is all values that x can take on. The only problem I have with this function is that I cannot have a negative inside the square root. So I'll set the insides greater-than-or-equal-to zero, and solve. The result will be my domain:\r<BR>\n" );
document.write( "\n" );
document.write( "4 - x &#8805; 0\r<BR>\n" );
document.write( "\n" );
document.write( "- x &#8805; 0 - 4\r<BR>\n" );
document.write( "\n" );
document.write( "-x &#8805; -4\r<BR>\n" );
document.write( "\n" );
document.write( "x &#8804; -4/-1\r<BR>\n" );
document.write( "\n" );
document.write( "x &#8804; 4\r<BR>\n" );
document.write( "\n" );
document.write( "The values for x must be less than or equal to 4.  Anything else will make the square root function undefined.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );