Let f (x) = sin x and g(x) = log(e)IxI. ...

Let f (x) = sin x and `g(x) = log_(e)IxI`. If the ranges of the composition functions fog and gof are `R_1` and `R_2` , respectively, then

A

a)`R_1={u: -1 le u lt 1} , R_2 = {v: - oolt vlt 0}`

B

b) `R_1={u: -ooltu lt0}, R_2={v: -ooltvlt0}`

C

c) `R_1={u: -1 lt u lt 1} , R_2 = {v: - oolt vlt 0}`

D

d)`R_1={u: -1 le u le 1} , R_2 = {v: - oolt vle 0}`

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The correct Answer is:

D

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