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Let f : (0, 1) → R be a function defined by f ( x ) = x – e 1 1  , and g ( x ) = ( f ( – x ) – f ( x )). Consider two statements (I) g is an increas ing function in (0, 1) (II) g is one - one in (0, 1) Then,

1. Only (I) is true
2. Both (I) and (II) are true
3. Only (II) is true
4. Neither (I) nor (II) is true

Correct answer: Both (I) and (II) are true

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