Domain of the function $f (x) = log | log x |$ is

(0, \infty)

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(- \infty, 0)

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(2, \infty)

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

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Solution

The correct option is D $(0, 1) \cup (1, \infty)$
$f$ is defined is log $x > 0$ , $x$ can not be $1$

$\Rightarrow x > 1$ for log $x > 0.$

$∴ x ϵ (0, 1) \cup (1, \infty)$

Suggest Corrections

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