Question

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

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

Answer 1

Answer: (D)

R - {-3, 3}

The function has a real value only when denominator of the fraction is not equal to zero.
So, $\left|x\right|-3\ne =0$
$=>\left|x\right|\ne =3$
$=>x\ne =3;-3$
So, the domain of the function is $R-$ { $-3,3$ }