document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=879288>Question 879288</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the domain of y=4/2x+7<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #530658 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=530658\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I'm assuming the equation is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+4%2F%282x%2B7%29 ALIGN=MIDDLE  ALT=\"y+=+4%2F%282x%2B7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "If so, then set the denominator equal to zero to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B7=0 ALIGN=MIDDLE  ALT=\"2x%2B7=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > and solve for x to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-7%2F2 ALIGN=MIDDLE  ALT=\"x+=+-7%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "This x value of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-7%2F2 ALIGN=MIDDLE  ALT=\"x+=+-7%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > makes the denominator equal to zero.\r<BR>\n" );
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document.write( "You CANNOT divide by zero. It is undefined.\r<BR>\n" );
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document.write( "So to avoid division by zero, we must restrict that x cannot equal <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-7%2F2 ALIGN=MIDDLE  ALT=\"-7%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >. So we say <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%3C%3E+-7%2F2 ALIGN=MIDDLE  ALT=\"x+%3C%3E+-7%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Any other real number works for x.\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "The domain is the set of real numbers but <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%3C%3E+-7%2F2 ALIGN=MIDDLE  ALT=\"x+%3C%3E+-7%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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