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

`(-oo,-2]cup[-(3)/(2),oo)`

B

`(-oo,-2]cup[-1,oo)`

C

`(-oo,-2]cup[-(4)/(3),oo)`

D

`(-oo,-1]cup[2,oo)`

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The correct Answer is:

C

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