document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=12594>Question 12594</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if f(x)=x^2-7x+3 and g(x)= x+1/x-3, find the domain of g o f. thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #6405 by </B><A HREF=/tutors/aboutme.mpl?userid=longjonsilver><B>longjonsilver(2297)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=longjonsilver><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=longjonsilver><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=6405\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> i am assuming that g(x) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B1%29%2F%28x-3%29 ALIGN=MIDDLE  ALT=\"%28x%2B1%29%2F%28x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >?\r<BR>\n" );
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document.write( "well, gf(x) would then be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2-7x%2B4%29%2F%28x%5E2-7x%29 ALIGN=MIDDLE  ALT=\"%28x%5E2-7x%2B4%29%2F%28x%5E2-7x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > where th edenominator factorises to x(x-7)\r<BR>\n" );
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document.write( "So, the domain of this? The domain is \"what are the possible x-values i can put in?\". Well seeing as how you have given no domain definition for either f(x) or g(x), i will assume that any real value goes, so...\r<BR>\n" );
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document.write( "look at the denominator here. What values of x make the fraction go do-lally? The thing you are looking for is any value of x such that the denominator is ZERO, since anything/zero will give an error.\r<BR>\n" );
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document.write( "well, we have x(x-7), so either x=0 or x=7 will make the denominator zero, so these 2 values are NOT allowed.\r<BR>\n" );
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document.write( "So, domain is xeR, but not 0 or 7.\r<BR>\n" );
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document.write( "Need to clarify with your teacher too, if the x=3 from the x-3 of g(x) will be carried over to the composite gf(x) function.\r<BR>\n" );
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document.write( "jon.<BR>\n" );
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