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Let the function g:(-oo, oo) to (-(pi)/(...

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

A

1: onto but not one-one

B

2: one-one but not onto

C

3: one-one and onto

D

4:neither one-one nor onto

Text Solution

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The correct Answer is:
C
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