document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1046031>Question 1046031</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Let <BR>\n" );
document.write( "f(x) = &#8730;x, g(x) = x + 12 and h(x) = 2/x\r<BR>\n" );
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document.write( " Find the domain of the following function then simplify the expression. (Enter your answer for the domain using interval notation.)\r<BR>\n" );
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document.write( "(h/g)(x) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #661520 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</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=661520\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The question does not involve f(x).<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28h%2Fg%29%28x%29 ALIGN=MIDDLE  ALT=\"%28h%2Fg%29%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > means  same as  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%28x%29%2Fg%28x%29 ALIGN=MIDDLE  ALT=\"h%28x%29%2Fg%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%28x%29%2Fg%28x%29=%282%2Fx%29%2F%28x%2B12%29 ALIGN=MIDDLE  ALT=\"h%28x%29%2Fg%28x%29=%282%2Fx%29%2F%28x%2B12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><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;\" > AND  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E-12 ALIGN=MIDDLE  ALT=\"x%3C%3E-12\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "This means domain is  (-infinity, -12) U (-12, 0) U (0, infinity).<BR>\n" );
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document.write( "In inequality notation, this is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28-infinity%3Cx%3C-12%2C-12%3Cx%3C0%2C0%3Cx%3Cinfinity%29 ALIGN=MIDDLE  ALT=\"system%28-infinity%3Cx%3C-12%2C-12%3Cx%3C0%2C0%3Cx%3Cinfinity%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "The ratio of the functions simplified is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F%28x%28x%2B12%29%29=highlight%282%2F%28x%5E2%2B12x%29%29 ALIGN=MIDDLE  ALT=\"2%2F%28x%28x%2B12%29%29=highlight%282%2F%28x%5E2%2B12x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Note that you were asked for a RATIO of two functions; NOT a composition of functions. </SPAN>\n" );
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