document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=204367>Question 204367</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find all real numbers that are not in the domain of the following function:<BR>\n" );
document.write( "f(x)=x^2+4x+1/2x^2+x-3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #154291 by </B><A HREF=/tutors/aboutme.mpl?userid=RAY100><B>RAY100(1637)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=RAY100><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=154291\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> f(x) = (x^2 +4x +1) / (2x^2 +x-3) <BR>\n" );
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document.write( "factor <BR>\n" );
document.write( "f(x) = (x+3.732)(x+.268) / (2x+3) (x-1)<BR>\n" );
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document.write( "ps.  used  quadratic  formula  for  numerator, but  it  doesn't  come  into  play<BR>\n" );
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document.write( "To  be  out  of  the  Domain,  the  function  can  be  (1) undefined,  by  having  zero  in  denominator,,or(2) complex,,sqrt  of  negative  number\r<BR>\n" );
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document.write( "in  this  case  if  (2x+3) =0,, x=-3/2,,,,or (x-1)=0,,x=1,,,, function  is  undefined<BR>\n" );
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document.write( "Therefore  Domain  is  ALL  REAL  NUMBERS,,except x=-3/2  and  x=1<BR>\n" );
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