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I : Ever function must be either even or...

I : Ever function must be either even or odd function
The function `f(x)=log(x+sqrt(x^(2)+1))` is an odd function.

A

only I is true

B

only II is true

C

both I and II are true

D

neither I nor II are true

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Knowledge Check

  • The function f(x)=sin ( log (x+ sqrt(1+x^(2)))) is

    A
    even function
    B
    odd function
    C
    neither even nor odd
    D
    periodic function

  • The domain of the function f(x)=log_(3+x)(x^(2)-1) is

    A
    `(-3, -2) uu (1, oo)`
    B
    `[-3, -1) uu [1, oo)`
    C
    `(-3, -2) uu (-2, -1) uu (1, oo)`
    D
    `[-3, 2) uu (-2, -1) uu [1, oo)`

  • The domain of the function f(x)=log_(x) cosx is

    A
    `(0, (pi)/(2)) -{1}`
    B
    `[-(pi)/(2), (pi)/(2)]-{1}`
    C
    `(-(pi)/(2), (pi)/(2))`
    D
    `[-(pi)/(2), (pi)/(2)]`

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