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Range of the function f(x)=log (sqrt2)(2...

Range of the function `f(x)=log _(sqrt2)(2-log_(2)16 sin ^(2)x +1)` is:

A

`[0,1]`

B

`(-oo, 2]`

C

`[-1,1]`

D

`(-oo,oo)`

Text Solution

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The correct Answer is:
B
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Knowledge Check

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

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

  • The domain of the function f(x)=log_(2)[1-log_(12)(x^(2)-5x+16)] is

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    `(1, 4)`
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    `(-oo, 4]`
    C
    `[1, oo)`
    D
    `[1, 4]`

  • The function f(x)=log_(10)(x+sqrt(x^(2))+1) is

    A
    an even function
    B
    an odd function
    C
    periodic function
    D
    none of these

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