document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=38612>Question 38612</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If the expression 4z + 1 over 4z - 6 is to make sense, the values that z can take must be restricted. State the restriction on z. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #24148 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=24148\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Denominators can NEVER be zero, so any value that makes a denominator equal zero is a restriction.  In this case, the denominator is 4z-6.\r<BR>\n" );
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document.write( "Therefore, the denominator 4z-6 must not be zero.<BR>\n" );
document.write( "Therefore, the forbidden value would be <BR>\n" );
document.write( "4z-6=0\r<BR>\n" );
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document.write( "Add 6 to both sides:<BR>\n" );
document.write( "4z=6\r<BR>\n" );
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document.write( "Divide both sides by 4:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284z%29%2F4=6%2F4 ALIGN=MIDDLE  ALT=\"%284z%29%2F4=6%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=+3%2F2 ALIGN=MIDDLE  ALT=\"z=+3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > IS THE FORBIDDEN VALUE!!\r<BR>\n" );
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document.write( "Therefore the restriction on z is that Z must NOT equal <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F2 ALIGN=MIDDLE  ALT=\"3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "R^2 at SCC  </SPAN>\n" );
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