document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=508418>Question 508418</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do you solve this problem?<BR>\n" );
document.write( "Show that the sum of 2 odd functions is odd.<BR>\n" );
document.write( "Show your work. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #340982 by </B><A HREF=/tutors/aboutme.mpl?userid=swincher4391><B>swincher4391(1107)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=swincher4391><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=swincher4391><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=340982\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> By definition, a function is odd if f(-x) = -f(x) for all x.\r<BR>\n" );
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document.write( "Thus, if we have two functions, call them f(x) and g(x) then  f(x) + g(x)  =  -f(x) +  -g(x) which follows that the resulting function is odd as well. </SPAN>\n" );
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