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Let f(x) = sinx and g(x)=In |x|. If the ...

Let `f(x) = sinx and g(x)=In |x|.` If the ranges of the composition functions fog and gof are `R_1, and R_2` respectively, then

A

`R_(1)={u:-1ltult1},R_(2)={v:-oo lt v lt 0}`

B

`R_(1)={u:-oo lt u le0},R_(2)={v:-1levle1}`

C

`R_(1)={u:-1 lt u lt 1},R_(2)={v:-oo lt v le0}`

D

`R_(1)={u: -1 le u le1},R_(2)={v:-oo lt v le0}`

Text Solution

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The correct Answer is:
D
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