document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=498076>Question 498076</A>: <I><SPAN STYLE=\"word-break: break-all;\"> prove that y =3/2 is not in the range of f(x)=(3x-1)/(2x+4) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #336912 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=336912\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Assume that f(x) = 3/2, that is\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{3x-1}{2x+4} = \frac{3}{2}\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Then, <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 2(3x-1) = 3(2x+4) \Rightarrow -2 = 12\">, contradiction, so 3/2 cannot be in the range.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Technically, the value of f(x) approaches 3/2 as x gets larger and larger. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );