Question

The domain of the function, $f\left(x\right)=\frac{|x|-2}{|x|-3}$ is

• A. $R$
• B. $R-\{2,3\}$
• C. $R-\{2,-2\}$
• D. $R-\{-3,3\}$

Answer 1

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

$f\left(x\right)=\frac{|x|-2}{|x|-3}$

Here, $x$ cannot be $\pm 3$.

(f is not defined when $x=\pm 3$)

Therefore,

Domain $=R-\{-3,3\}$