document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=908773>Question 908773</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what is the domain in interval notation of f(x)=1/13-x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #551313 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=551313\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I'm assuming the function is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+1%2F%2813-x%29 ALIGN=MIDDLE  ALT=\"f%28x%29+=+1%2F%2813-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Since you cannot divide by zero, this means the denominator <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13-x ALIGN=MIDDLE  ALT=\"13-x\"   DISABLED_style= \"max-width:90%; height:auto;\" > cannot be zero.\r<BR>\n" );
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document.write( "If it were zero, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13-x=0 ALIGN=MIDDLE  ALT=\"13-x=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=13 ALIGN=MIDDLE  ALT=\"x=13\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "In reverse, this means that if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=13 ALIGN=MIDDLE  ALT=\"x=13\"   DISABLED_style= \"max-width:90%; height:auto;\" > then the denominator <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13-x ALIGN=MIDDLE  ALT=\"13-x\"   DISABLED_style= \"max-width:90%; height:auto;\" > is zero.\r<BR>\n" );
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document.write( "Because <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=13 ALIGN=MIDDLE  ALT=\"x=13\"   DISABLED_style= \"max-width:90%; height:auto;\" > causes the denominator <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13-x ALIGN=MIDDLE  ALT=\"13-x\"   DISABLED_style= \"max-width:90%; height:auto;\" > to be zero, we have to kick this number out of the domain. Any other number works.\r<BR>\n" );
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document.write( "So the domain is the set of real numbers x BUT x cannot equal 13.\r<BR>\n" );
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document.write( "In interval notation, the domain is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \left(-\infty,13\right)\cup\left(13,\infty\right)\"> </SPAN>\n" );
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