document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=147183>Question 147183</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find (fg)(x). What is the domain of f/g\r<BR>\n" );
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document.write( "f(x)=2x-5,  g(x)=2-x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #107511 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=107511\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find (fg)(x). What is the domain of f/g<BR>\n" );
document.write( "f(x)=2x-5,  g(x)=2-x<BR>\n" );
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document.write( "Domain is the \"range\" of values that 'x' can take for the expression.<BR>\n" );
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document.write( "Your \"expression\" is f/g or substituting in the values for f and g we get:<BR>\n" );
document.write( "(2x-5)/(2-x)<BR>\n" );
document.write( "Looking at the above, the only values that would make the expression \"undefined\" is when the denominator goes to zero.  (remember, anything over 0 is undefined).<BR>\n" );
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document.write( "Therefore, to find that value of x that we cannot use for the expression, set 2-x to zero and solve for x:<BR>\n" );
document.write( "2-x = 0<BR>\n" );
document.write( "2 = x<BR>\n" );
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document.write( "Therefore, the domain is:<BR>\n" );
document.write( "All real numbers EXCEPT 2.<BR>\n" );
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