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The domain of f(x)=(x^(2)-2x+3)/(x^(2)+x...

The domain of `f(x)=(x^(2)-2x+3)/(x^(2)+x-6)` is

A

`(-oo, -3)uu(-3, 2)uu(2, oo)`

B

`(-oo, -3)uu(-3, 2)`

C

`(-oo, -3)uu(2, oo)`

D

none

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Knowledge Check

  • The domain of f(x)=(log_(3)(x+3))/(x^(2)+3x+2) is

    A
    `R-{-1,-2}`
    B
    `(-2, oo)`
    C
    `R-{-1, -2, -3}`
    D
    `(-3, oo)- {-1, -2}`

  • The domain of f(x)=sqrt(-x^(2)) is

    A
    `(0, oo)`
    B
    `(-oo, 0)`
    C
    `{0}`
    D
    `(1, oo)`

  • The domain of f(x)=cos^(-1)(x^(2)-3) is

    A
    1)`[-1,1]`
    B
    2)`[-2,2]`
    C
    3)`[-sqrt(2),sqrt(2)]`
    D
    4)`[-2-sqrt(2)]uu[sqrt(2),2]`

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