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Let f (x) be defined as f (x) ={{:(|x...

Let f (x) be defined as
`f (x) ={{:(|x|, 0 le x lt1),(|x-1|+|x-2|, 1 le x lt2),(|x-3|, 2 le x lt 3):}`
The range of function `g (x)= sin (7 (f (x))` is :

A

`[0,1]`

B

`[-1,0]`

C

`[-(1)/(2), (1)/(2)]`

D

`[-1,1]`

Text Solution

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The correct Answer is:
D
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