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The domain of the function f(x)=sin^(-...

The domain of the function
`f(x)=sin^(-1)[log_(4)(x/4)]+sqrt(17x-x^(2)-16)` is

A

[-1, 1]

B

[1, 4]

C

(0, 16]

D

[1, 16]

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • The domain of the function f(x)=sin^(-1)((4)/(3+2cosx)) is

    A
    `[ 2 n pi - pi/3, 2 n pi + pi/3]`
    B
    `[ 2 n pi - pi/6, 2 n pi + pi/6]`
    C
    `[ 2n pi - pi/2, 2 n pi + pi/2]`
    D
    `[2 n pi - pi/3, 2 n pi + pi/2]`

  • The domain of the function f(x)=sin^(-1)(log(2)((x^(2))/2)) is

    A
    `1lexle2` or `-2lexle-1`
    B
    `1lexlt3`
    C
    `2lexle4`
    D
    `1lexle4`

  • The domain of the function f(x) =sqrt(sin^(-1)x) is:

    A
    [0,1]
    B
    `[-1,1]`
    C
    `(-infty, infty)`
    D
    `(0,1)`

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