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If [x] denotes the greatest integer lt x...

If [x] denotes the greatest integer `lt x` then the domain of the function function `f(x) =sqrt((4-x^2)/([x]+2))` is

A

`(-oo,-2] cup [-1,2)`

B

`(-oo,-2)cup[-1,2]`

C

`(-oo,-2)cup(-1,2)`

D

`(-oo,-1)cup [-1,2]`

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • If [x] denotes the greatest integer function , then the domain of the function f(x)=sqrt((x-[x])/(log (x^2-x))) is ,

    A
    `(1,oo)`
    B
    `(1,oo)-Z`
    C
    `R-[(1-sqrt5)/2, (1+sqrt5)/2]`
    D
    `[(1-sqrt5)/2, (sqrt5+1)/2]`

  • If [x] denotes the greatest integer function, then the domain of the function f(x)=sqrt((x-[x])/(log (x^(2)-x))) is

    A
    `(1, oo)`
    B
    `(1, oo)-Z`
    C
    `R-[(1-sqrt(5))/2, (1+sqrt(5))/2]`
    D
    `[(1-sqrt(5))/2, (sqrt(5)+1)/2]`

  • The domain of the function f(x)=sqrt(log_(16)x^(2)) is

    A
    `x=0`
    B
    `|x| ge 4`
    C
    `|x| ge 1`
    D
    `|x| ge 2`

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