Domain of the function | x^2 - 9| is - Vidyadip

MCQ

Domain of the function $\log |{x^2} - 9|$ is

A
$R$
B
$R - [ - 3,\;3]$
✓
$R - \{ - 3,\;3\} $
D
None of these

✓

Answer

Correct option: C.

$R - \{ - 3,\;3\} $

c
(c) For $x = - 3,\,\,3,\,\,\,|\,\,{x^2} - 9\,\,|\, = 0$

Therefore $\log \,|{x^2} - 9|\,$ does not exist at $x = - \,3,\,\,3.$

Hence domain of function is $R - \left\{ { - \,3,\,\,3} \right\}.$

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