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If the domain of the function f(x) = (co...

If the domain of the function `f(x) = (cos^(-1)sqrt(x^(2) - x + 1))/(sqrt(sin^(-1)((2x-1)/(2))))` is the interval `(alpha, beta]`, then `alpha + beta` is equal to :

A

`(3)/(2)`

B

2

C

`(1)/(2)`

D

1

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