question_answer

The domain of the function \[f(x)=\frac{{{\sin }^{-1}}(3-x)}{\text{In}(|x|-2)}\]

A)  \[\left[ 2,4 \right]\]                     

B)  \[(2,3)\bigcup (3,4)\]

C)  \[[2,\infty )\]                 

D)  \[(-\infty ,-3)\bigcup [2,\infty )\]

E)  None of these