Question

The domain of the function $\log |x^2-9|,$ is

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

Answer 1

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

The function $\log |x^2-9|$ is defined when $|x^2-9|>0$

$|x^2-9|$ is positive for all $x\in R,$ but $\log |x^2-9|$ is not defined when $|x^2-9|=0$ i.e $x=-3,3$

Hence, domain of the function is $R-\{-3,3\}$