document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=886904>Question 886904</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Let f(x)= x^2-25 and g(x)=x+5.  Find and simplify (f/g)(x).  State the domain of (f/g)(x).\r<BR>\n" );
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document.write( "Could you please show me all the work that is necessary to complete this problem so that I understand it completely and will know how it was done.   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #536230 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=536230\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  (f/g)(x) = (x^2 -25) / (x +5)<BR>\n" );
document.write( "now factor the numerator<BR>\n" );
document.write( "(f/g)(x) = ((x +5) * (x -5)) / (x +5)<BR>\n" );
document.write( "now we can cancel (x +5) in the numerator and denominator<BR>\n" );
document.write( "(f/g)(x) = x -5<BR>\n" );
document.write( "domain of (f/g)(x) is the real numbers<BR>\n" );
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