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The domain of the function f(x) = s...

The domain of the function `f(x) = sin ^(-1) ((|x| +5)/(x^2 +1))` is
`( -oo , -a ] uu [ a,oo ).` then a is equal to :

A

`( sqrt(17))/(2) +1`

B

`( sqrt(17 ))/(2)`

C

`(1 + sqrt(17))/(2)`

D

` ( sqrt( 17 ) -1)/( 2)`

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