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 #322585 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=322585\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I previously answered this question but i didn't tell you what the domain was.<BR>\n" );
document.write( "I gave you the answer that f(g(x)) = 7/(x+7) + 6<BR>\n" );
document.write( "you got this by replacing the x in f(x) with g(x) which is equal to 7/(x+7).<BR>\n" );
document.write( "the domain of this equation would be all real numbers except x = -7.<BR>\n" );
document.write( "when x = -7, the denominator in the fraction becomes 0 which makes the value of the fraction undefined.<BR>\n" );
document.write( "a graph of your f(g(x)) equation is shown below:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28600%2C600%2C-10%2C10%2C-100%2C100%2C%287%2F%28x%2B7%29%29%2B6%29 ALIGN=MIDDLE  ALT=\"graph%28600%2C600%2C-10%2C10%2C-100%2C100%2C%287%2F%28x%2B7%29%29%2B6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "if you draw a vertical line at x = -7, you will see that you have an asymptote there.<BR>\n" );
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