Talk:Function composition: Difference between revisions
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|<tt>..</tt>
|<tt>(('''f'''
|<tt>((x '''f''' y) + ('''g''' ''x'')'''f'''('''g''' ''y''))/2</tt>
|Given <tt>'''h'''←'''f'''..'''g'''</tt>, the resulting function, <tt>'''h'''</tt>, is ''even'' in the sense that <tt>('''h''' ''y'') = ('''h''' -''y'')</tt> for any <tt>''y''</tt> ; its graph is reflected in the vertical axis.
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|<tt>.:</tt>
|<tt>(('''f''' y) -
|<tt>((x '''f''' y) - ('''g''' ''x'')'''f'''('''g''' ''y''))/2</tt>
|Given <tt>'''h'''←'''f'''.:'''g'''</tt>, the resulting function, <tt>'''h'''</tt>, is ''odd'' in the sense that <tt>('''h''' ''y'') = (-'''h''' -''y'')</tt> for any <tt>''y''</tt> ; its graph is reflected in the origin.
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