document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=470264>Question 470264</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 #322583 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=322583\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> fog(x) is equal to f(g(x)).<BR>\n" );
document.write( "this is described as f of g of x.<BR>\n" );
document.write( "you have:<BR>\n" );
document.write( "f(x) = x + 6<BR>\n" );
document.write( "g(x) = 7/(x+7)<BR>\n" );
document.write( "replace the x in f(x) with g(x)) to get:<BR>\n" );
document.write( "f(g(x)) = 7/(x+7) + 6<BR>\n" );
document.write( "that's your equation.<BR>\n" );
document.write( "fog(x) = 7/(x+7) + 6<BR>\n" );
document.write( "another example might clarify this a little better.<BR>\n" );
document.write( "suppose f(x) = 5x^2 - 3x + 2<BR>\n" );
document.write( "suppose g(x) = sqrt(x).<BR>\n" );
document.write( "you want to find fog (x)<BR>\n" );
document.write( "you replace x with g(x)) in your f(x) equation to get:<BR>\n" );
document.write( "f(g(x)) = 5*(sqrt(x))^2 - 3*sqrt(x) + 2<BR>\n" );
document.write( "you replace the x with sqrt(x) everywhere you had an x in the f(x) equation.<BR>\n" );
document.write( "your equation becomes f(g(x)) = 5*x - 3*sqrt(x) + 2<BR>\n" );
document.write( "note that sqrt(x)^2 is equal to x.<BR>\n" );
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