document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=250196>Question 250196</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the Domain of the Function.\r<BR>\n" );
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document.write( "g(x)= 1/1-7x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #182141 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=182141\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since you can't divide by zero, set the denominator equal to zero to get: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1-7x=0 ALIGN=MIDDLE  ALT=\"1-7x=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Now solve for 'x' to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1%2F7 ALIGN=MIDDLE  ALT=\"x=1%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >. So if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1%2F7 ALIGN=MIDDLE  ALT=\"x=1%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then the denominator is zero. Since we don't want this, we have to take this value out of the domain. So the domain is the set of all real numbers BUT <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E1%2F7 ALIGN=MIDDLE  ALT=\"x%3C%3E1%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" > (to avoid division by zero). </SPAN>\n" );
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