The domain of the function $f (x) = x^{1 / ln x}$ is

(0, \infty) - {1, e}

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(0, 1) \cup (1, \infty)

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(e, \infty)

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(1, \infty) - {e}

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Solution

The correct option is B $(0, 1) \cup (1, \infty)$
$f (x) = x^{1 / ln x}$
$f (x)$ is defined when
$ln x \neq 0, x > 0$
$∴ x \in (0, \infty) - {1}$

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