If f(x)=sin^-1[2x^2-3]+log2(log(1/2)(x^2...

If `f(x)=sin^-1[2x^2-3]+log_2(log_(1/2)(x^2-5x+5))` where `[.]` is GIF then domain of `f(x)` is

A

`(-sqrt(5/2),(5-sqrt5)/2)`

B

`(1,(5-sqrt5)/2)`

C

`(1,sqrt(5/2))`

D

`(1,4)`

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