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The domain of definition of f(x)=sqrt((1...

The domain of definition of `f(x)=sqrt((1-|x|)/(2-|x|))` is

A

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

B

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

C

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

D

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

Text Solution

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The correct Answer is:
A, B, C
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Knowledge Check

  • The domain of definition of the function f(x)=sqrt(x+3) is :

    A
    `(-oo,3)`
    B
    `(-oo,3]`
    C
    `(3,oo)`
    D
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  • The domain of definition of f(x) = sqrt(log_e ((4x - x^2)/3)) is

    A
    `0 lt x lt 3`
    B
    `x gt 1`
    C
    `1 le x le 3`
    D
    `x lt 3`

  • Domain of definition of f(x) = sin^-1 ((3 - 2x)/5)

    A
    a) [-1,4]
    B
    b) (-1,4)
    C
    c) `[ 0 , infty]`
    D
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