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(D) Given the function $f: R \rightarrow R$ defined by $f(x) = \frac{1}{x}$.For a function to be defined on the domain $R$,every element in $R$ must h

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$f$ is not defined

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(D) Given the function $f: R \rightarrow R$ defined by $f(x) = \frac{1}{x}$.For a function to be defined on the domain $R$,every element in $R$ must have a corresponding image in the codomain.At $x = 0$,the expression $f(0) = \frac{1}{0}$ is undefined in the set of real numbers $R$.Since $0 \in R$ and $f(0)$ does not exist,the function $f$ is not well-defined on the domain $R$.Therefore,$f$ is not defined.

Let $f: R \rightarrow R$ be defined by $f(x) = \frac{1}{x}$ for all $x \in R$. Then $f$ is:

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