If x ne 1 and f (x) =(x+1)/(x-1) is a re...

If `x ne 1 and f (x) =(x+1)/(x-1)` is a real function, then `f (f(f(2)))` is

A

f is one-one and onto in R

B

f is one-one but not onto in R

C

f is onto in R but not one-one

D

f is netither one-one nor onto in R

Verified by Experts

The correct Answer is:

A

Similar Questions

Explore conceptually related problems

If f (x) =1 -1/x, then f (f ((1)/(x))) is

If f(x) = (x-1)/(x+1) , then f(2x) is equal to

If f (x) = (x-1)/( x+1) , then f ((1)/( f (x))) equals

If f (x) = (x-1)/(x +1) then f (alphax )=

IF f(x)=x,-1lexle1 , then function f(x) is

If a function f (x) is given as f (x) =x ^(2) -3x +2 for all x in R, then f (-1)=

If for non-zero x, a. f (x) + b . f ((1)/(x)) =1/x-5, where a ne b, then f (2) =

If f(x) = 1/(1-x) , then f(f(f(x))) is equal to

If f(x) = log ((1+x)/(1-x)) , then f((2x)/(1+x^(2))) is equal to