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Previous Year Question (PYQs)

Let $f : \mathbb{R} \to \mathbb{R}$ be defined by $f(x) = \dfrac{1}{x}$, $\forall x \in \mathbb{R}$. Then $f$ is




Solution

$f(x) = \dfrac{1}{x}$ is not defined for $x = 0$, hence it’s not a function from $\mathbb{R} \to \mathbb{R}$. If domain were $\mathbb{R} - {0}$, then it would be bijective.

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