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

If `f(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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