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The complete set of values of x in the domain of function `f (x)= sqrt(log _(x+2(x))([x] ^(2)-5[x] +7))` where [.] denote greatest integer functioon and `{.}` denote fraction pert function) is :

A

`(-(1)/(3), 0) uu ((1)/(3), 1) uu (2,oo)`

B

`(0,1)uu(1,oo)`

C

`(-(2)/(3), 0) uu((1)/(3), 1) uu (1,oo)`

D

`(-(1)/(3),0) uu((1)/(3), 1) uu (1,oo)`

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The correct Answer is:
D
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