First slide

Functions (XII)

Question

$The domain of f (x) = \log | \log x | is$

Moderate

A

$(0, \infty)$
B

$(1, \infty)$
C

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

$(- \infty, 1)$

Solution

$l e t f (x) = \log |\log x| f (x) i s d e f i n e d i f |\log x| > 0 a n d x > 0$
$i . e . x > 0 a n d x \neq 1 \Rightarrow x \in (0, 1) \cup (1, \infty)$

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