If f(x) = Sin^-1 x and g(x)=(x^2-x-2)/(2...

If `f(x) = Sin^-1 x and g(x)=(x^2-x-2)/(2x^2-x-6)` then domain of `fog(x)` is

A

`x in (-oo,-2]uu[-4/3,oo)-{2}`

B

`x in (-oo,-2]uu[-3/2,oo)`

C

`x in (-oo,-2]uu[-4/3,oo)`

D

`x in (-oo,-2]uu[-1,oo)`

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