document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=893024>Question 893024</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the domain of the rational function.\r<BR>\n" );
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document.write( "g(x)= x+5/x^2+49x\r<BR>\n" );
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document.write( "I have done the question multiple times and have gotten a different answer each time. guess I am not doing something right, any info is helpful. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #541006 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=541006\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> That should really be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29=+%28x%2B5%29%2F%28x%5E2%2B49x%29 ALIGN=MIDDLE  ALT=\"g%28x%29=+%28x%2B5%29%2F%28x%5E2%2B49x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "The domain of g(x) is the set of values which are acceptable for x.<BR>\n" );
document.write( "The numerator presents no restrictions.  Look next at the denominator.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B49x=x%28x%2B49%29 ALIGN=MIDDLE  ALT=\"x%5E2%2B49x=x%28x%2B49%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  This must not be allowed to be zero because a denominator can never be zero.<BR>\n" );
document.write( "This expression, the denominator, will be zero for x=0 or for x=-49.  The domain then is the real<BR>\n" );
document.write( "numbers such that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x%3C%3E0%29 ALIGN=MIDDLE  ALT=\"highlight%28x%3C%3E0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > AND <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x%3C%3E-49%29 ALIGN=MIDDLE  ALT=\"highlight%28x%3C%3E-49%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "DOMAIN:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-infinity%3Cx%3C-49 ALIGN=MIDDLE  ALT=\"-infinity%3Cx%3C-49\"   DISABLED_style= \"max-width:90%; height:auto;\" > U <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-49%3Cx%3C0 ALIGN=MIDDLE  ALT=\"-49%3Cx%3C0\"   DISABLED_style= \"max-width:90%; height:auto;\" > U <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0%3Cx%3Cinfinity ALIGN=MIDDLE  ALT=\"0%3Cx%3Cinfinity\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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