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If x(x)=(x+1)/(x-1), then the value of f...

If `x(x)=(x+1)/(x-1)`, then the value of `f(f(f(x)))` is :

A

`(x-1)/(x+1)`

B

1

C

`(x+1)/(x-1)`

D

x

Text Solution

Verified by Experts

The correct Answer is:
C
`f(f(x))=(((x+1)/(x-1))+1)/(((x+1)/(x-1))-1)=x`
`f(f(f(x)))= (x+1)/(x-1)`.
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Knowledge Check

  • If f(x)=(x+1)/(x-1) then the value of f(f(f(x))) is :

    A
    `(x-1)/(x+1)`
    B
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    C
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    D
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    `x^(2)+log x+C`
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    `(x^(2))/(2)+log|x|+C`
    C
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