document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=141738>Question 141738</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me with this math problem*\r<BR>\n" );
document.write( "\n" );
document.write( "Find the domain of\r<BR>\n" );
document.write( "\n" );
document.write( "f(x)=sqrt. sign (these numbers are inside the sqrt symbol 22/x^2-4x+4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #103267 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=103267\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the domain of <BR>\n" );
document.write( "f(x)=sqrt. sign (these numbers are inside the sqrt symbol 22/x^2-4x+4<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "f(x) = sqrt[22/(x^2-4x+4)]<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "Domain = ?<BR>\n" );
document.write( "That denominator must not be zero.<BR>\n" );
document.write( "It is zero when x^2-4x+4 = 0<BR>\n" );
document.write( "(x-2)^2 = 0<BR>\n" );
document.write( " x = 2 (so, 2 is excluded from the domain of f)<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "Also, 22/x^2-4x-4 must not be negative.<BR>\n" );
document.write( "It is negative when x^2-4x-2 is negative<BR>\n" );
document.write( "(x-2)^2 < 0<BR>\n" );
document.write( "Since (x-2) is squared, it is never negative.<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "Conclusion:<BR>\n" );
document.write( "Domain is all Real Numbers except x=2<BR>\n" );
document.write( "=================<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C300%2C-10%2C10%2C-10%2C20%2Csqrt%2822%2F%28x%5E2-4x%2B4%29%29%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C300%2C-10%2C10%2C-10%2C20%2Csqrt%2822%2F%28x%5E2-4x%2B4%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "==================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );