Answer
Odd.
Work Step by Step
To find $f(-x)$, replace $x$ with $-x$ to get $f(-x)=\frac{1}{-x}=-\frac{1}{x}$. $-f(x)=-\frac{1}{x}$, so $f(-x)=-f(x)$. Therefore, by the definition of odd functions, this function is odd.
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