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If the function g:(-oo,oo)rarr(-(pi)/(2)...

If the function `g:(-oo,oo)rarr(-(pi)/(2),(pi)/(2))` is given by
`g(u)=2 tan ^(-1) (e^(u))-(pi)/(2).` Then g is

A

even and is strictly increasing in `(0,oo)`

B

odd and is strictly decreasing in `(-oo,oo)`

C

odd and is strictly increasing in `(-oo,oo)`

D

neither even nor odd but is strictly increasing in `(-oo,oo)`

Text Solution

Verified by Experts

The correct Answer is:
C
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