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The domain of the function f(x)=sqrt(x^2...

The domain of the function `f(x)=sqrt(x^2-[x]^2)` , where `[x]` is the greatest integer less than or equal to `x ,` is `R` (b) `[0,+oo]` `(-oo,0)` (d) none of these

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Knowledge Check

  • The domain of the function f(x) =sqrt(x^(2) -[x]^(2)) , where [x] denotes the greatest integer less than or equal to x, is

    A
    `(0, oo)`
    B
    `(-oo, 0)`
    C
    `(-oo, oo)`
    D
    None of these

  • The domain of the function f(x)=sqrt(x^(2)-[x]^(2)) , where [*] greatest integer function less than or equal to x:

    A
    R
    B
    `[0,oo) cup Z`
    C
    `(-oo, 0]`
    D
    `R^(+)`

  • The domain of the function f(x) = sqrt((4-x^(2))/([x]+2)) where [x] denotes the greatest integer less than or equal to x,is

    A
    `[-1, 2]`
    B
    `(-oo, -2 )`
    C
    `(-oo, -2) uu [-1,2]`
    D
    none of these

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