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  4. Let f: R → R be defined by f(x) = (1/x) ∀ x ∈ R, then f is

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Q. Let $ f : R \to R$ be defined by $f(x) = \frac {1}{x} \, \, \forall \, x \in R$, then $f$ is

KCETKCET 2015Relations and Functions - Part 2

Solution:

We have, f(x) = $\frac{1}{x}$
When x = 0, then $f\left(0\right)=\frac{1}{0}$ which is meaningless.
Hence, f (x) is not defined.