document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=393063>Question 393063</A>: <I><SPAN STYLE=\"word-break: break-all;\"> explain why the function f(x)=3/x+2 + x-4/x+3 is a rational function and state its domain in interval notation. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #279005 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=279005\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> f(x)=3/x+2 + x-4/x+3<BR>\n" );
document.write( "=(3(x+3)+(x+2)(x-4))/(x+2)(x+3)<BR>\n" );
document.write( "x cannot be -2 or -3 because there would be division by zero in the denominator.<BR>\n" );
document.write( "X(-infinity, -3)U(-2, infinity)<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Ed<BR>\n" );
document.write( ".<BR>\n" );
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