Answer
(a) $f(-x)=-\frac{1}{x}$
(b) $-f(x)=-\frac{1}{x}$
Work Step by Step
(a) Replace $x$ with $-x$ to get $$f(-x)=\frac{1}{-x}=-\frac{1}{x}$$ (b) Multiply $f(x)$ by $-1$ to get $-f(x)=-\frac{1}{x}$.
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