Even and odd functions: Difference between revisions

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nth-root functions are odd for odd positive n
inverse of an odd function is odd (if it exists)
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* The composition of an even function and an odd function is even.
* The composition of any function with an even function is even (but not vice versa).
 
===Inverse function===
* If an odd function is invertible, then its [[inverse function|inverse]] is also odd.
 
==Even–odd decomposition==