Question

The domain of $f\left(x\right)=\log |x^2-9|$ is

• A. $R-\{-3,3\}$
• B. $(-\infty ,-3)$
• C. $(3,\infty )$
• D. $(-\infty ,\infty )$

Answer 1

The correct option is A $R-\{-3,3\}$

$f$ is defined for all $[x^2-9]>0\Rightarrow x\ne \pm 3$
$\therefore$ domain of $f$ is $R-\{-3,3\}$
Hence, option 'A' is correct.