Question

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

Answer 1

$f\left(x\right)=\frac{\left|x\right|-2}{\left|x\right|-3}$
here f(x) is not define if |x| − 3 = 0
i.e |x| = 3
i.e x = 3 or −3
∴ Domain of f(x) is R –{−3, 3}