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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Knowledge Check

The domain of the function f(x) = sqrt(3-2^x -2^(1-x) ) + sqrt( sin^(-1) x ) is

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D

None of these

F(x)=x^(5)+log,(x+sqrt(1+x^(2))) , Then for all alpha, beta in R such that alpha+beta gt 0

A

`F(alpha)+F(beta)lt0`

B

`F(alpha)+F(beta)gt0`

C

`F(alpha+7)+F(beta)lt0`

D

`F(alpha)+F(beta+1)=0`

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