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function f(x) =sin^(-1)(x-x^2)+sqrt(1-1/...

function `f(x) =sin^(-1)(x-x^2)+sqrt(1-1/|x|+1/[x^2-1])` is defined in the interval where [] denotes the greatest integer function

A

`xin(sqrt2,(1+sqrt5)/2)`

B

`xin(1,(1+sqrt5)/2)`

C

`xin[(1-sqrt5)/2,(1+sqrt5)/2]`

D

`xin(-sqrt2,(1+sqrt5)/2)`

Text Solution

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The correct Answer is:
A
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