document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=462835>Question 462835</A>: <I><SPAN STYLE=\"word-break: break-all;\"> f(x)=12/X^2+22x+105\r<BR>\n" );
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document.write( "What is the Domain of F? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #317205 by </B><A HREF=/tutors/aboutme.mpl?userid=katealdridge><B>katealdridge(100)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=katealdridge><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=katealdridge><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=317205\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=12%2FX%5E2%2B22x%2B105 ALIGN=MIDDLE  ALT=\"f%28x%29=12%2FX%5E2%2B22x%2B105\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "When you have to find domain, think about any values that x cannot be.  Since you have a rational function (a fraction with variables in it), there are some values x cannot be.  Remember that the denominator of a fraction can never be zero.  What number makes the bottom of the fraction be zero?  Take the entire denominator of the fraction and set it equal to zero and see.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2=0 ALIGN=MIDDLE  ALT=\"x%5E2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=0 ALIGN=MIDDLE  ALT=\"x=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > This is the only value x cannot be in this function.  There fore the domain is everything EXCEPT x=0.  This can be written different ways:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E0 ALIGN=MIDDLE  ALT=\"x%3C%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-infinity%3Cx%3C0 ALIGN=MIDDLE  ALT=\"-infinity%3Cx%3C0\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <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" );
document.write( "(-infinity,0) (0,infinity)<BR>\n" );
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