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If f(x) is continuous such that abs(f(x)...

If f(x) is continuous such that `abs(f(x)) le 1, forall x in R " and " g(x)=(e^(f(x))-e^(-abs(f(x))))/(e^(f(x))+e^(-abs(f(x)))),` then range of g(x) is

A

`[0,1]`

B

`[0, (e ^(2)+1)/(e ^(2)-1)]`

C

`[0, (e ^(2)-1)/(e ^(2)+1)]`

D

`[ (e ^(2)+1)/(e ^(2)+1),0]`

Text Solution

Verified by Experts

The correct Answer is:
D
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