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The range of the function , f (x) = ta...

The range of the function ,
`f (x) = tan^(-1) ((1+x)/(1 - x)) - tan^(-1) x ` is

A

`{pi//4}`

B

`{-(pi//4),3pi//4}`

C

`{pi//4, - (3pi//4)}`

D

`{3 pi//4}`

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • Range of the function f(x)=abs(x-1)/(x-1) is

    A
    `{-1, 1}`
    B
    `{-1, 2}`
    C
    `{-2, 2}`
    D
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  • Range of the function f(x)=sin^(-1)x is equal to

    A
    `[0,(pi)/(2)]`
    B
    `(0,(pi)/(2))`
    C
    `(-(pi)/(2),0)`
    D
    `[-(pi)/(2),(pi)/(2)]`

  • The range of function f(x)= abs(x-1)/(x-1)

    A
    1
    B
    `R-{0}`
    C
    -1
    D
    [-1,1]

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