f:R→-1,∞ and fx=lnsin2x+cos2x (where [.] is the greatest integer function.) Then,

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fx has range Z

Range of fx is singleton set

fx is invertible in 0,π4

fx is into function

answer is B.

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Detailed Solution

The period of gx=sin2x+cos2x is π/4.Also, 1≤gx≤2.Hencegx=1fx is a many-one and into function.

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