document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1155244>Question 1155244</A>: <I><SPAN STYLE=\"word-break: break-all;\"> which of the following expression could be used as a denominator of a rational function without placing any limits on the domain of the function?\r<BR>\n" );
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document.write( "a)2x+3<BR>\n" );
document.write( "b)\sqrt(x^2+5)<BR>\n" );
document.write( "c)x^2-9<BR>\n" );
document.write( "d)x^2-x-6<BR>\n" );
document.write( "e)2,321<BR>\n" );
document.write( "f)none </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #777808 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=777808\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "a) 2x+3.  No; 2x+3 is 0 when x is -1.5<br><BR>\n" );
document.write( "b) sqrt(x^2+5).  Yes! sqrt(x^2+5) is always greater than 0<br><BR>\n" );
document.write( "c) x^2-9.  No, x^2-9 is 0 when x is 3 or -3<br><BR>\n" );
document.write( "d) x^2-x-6 = (x-3)(x+2).  No, that is 0 when x is 3 or -2<br><BR>\n" );
document.write( "e) 2321.  Yes; that is obviously never 0<br><BR>\n" );
document.write( "ANSWERS: b and e<br><BR>\n" );
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document.write( "I stand corrected.  I did not know that the definition of rational function required both numerator and denominator to be polynomials.  My previous understanding was that a rational function was simply a ratio of two functions....<br><BR>\n" );
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