document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=470281>Question 470281</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. Find the domain of the composite function f&#9702;g . Please show all of your work. <BR>\n" );
document.write( "f(x) = x + 6; g(x) = 7/x+7 \r<BR>\n" );
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document.write( "Will someone help me with this problem? thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #322587 by </B><A HREF=/tutors/aboutme.mpl?userid=Gogonati><B>Gogonati(855)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Gogonati><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=Gogonati><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=322587\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First we get the composite function: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28g%28x%29%29=7%2F%28x%2B7%29%2B6 ALIGN=MIDDLE  ALT=\"f%28g%28x%29%29=7%2F%28x%2B7%29%2B6\"   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=f%28g%28x%29%29=%287%2B6%28x%2B7%29%29%2F%28x%2B7%29 ALIGN=MIDDLE  ALT=\"f%28g%28x%29%29=%287%2B6%28x%2B7%29%29%2F%28x%2B7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <=> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28g%28x%29%29=%286x%2B49%29%2F%28x%2B7%29 ALIGN=MIDDLE  ALT=\"f%28g%28x%29%29=%286x%2B49%29%2F%28x%2B7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "This function is defined for x+7&#8800;0 or x&#8800;-7, and its domain will be:\r<BR>\n" );
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document.write( "(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-infinity ALIGN=MIDDLE  ALT=\"-infinity\"   DISABLED_style= \"max-width:90%; height:auto;\" >, -7)U (-7, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=infinity ALIGN=MIDDLE  ALT=\"infinity\"   DISABLED_style= \"max-width:90%; height:auto;\" >). </SPAN>\n" );
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