The domain of f ( x ) is (0, 1), therefore, the domain of y = f ( e x ) + f ( ln | x | ) is:

Question

The domain of $f (x)$ is (0, 1), therefore, the domain of $y = f (e^{x}) + f (\ln | x |)$ is:

Smart Achievers · Accepted Answer

(2)

$y = f (e^{x}) + f (\ln | x |)$

$domain f (x) = (0, 1) \Rightarrow 0 < e^{x} < 1 \Rightarrow x < 0$ $\dots \dots (1)$

$and 0 < \ln$ $| x |$ $< 1 \Rightarrow 1 <$ $| x |$ $< e \Rightarrow x \in (- e, - 1) \cup (1, e)$ $\dots \dots (2)$

$Taking intersection x \in (- e, - 1)$

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