First slide

Functions (XII)

Question

The domain of the function $f (x) = \sqrt{\log_{(x^{2} - 1)} x}$ is

Moderate

A

$(\sqrt{2}, \infty)$
B

$(0, \infty)$
C

$(1, \infty)$
D

R

Solution

$\log_{b}^{a}$ is defied for a, b > 0 and $b \neq 1$
x>0, $x^{2} - 1 > 0,$ and $\log_{x^{2} - 1} (x) \geq 0$

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