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

MCQ

If $x \neq 1$ and $f (x)=\frac{x+1}{x-1}$ is a real function, then $f(f(f(2)))$ is

A
1
B
2
✓
3
D
4

✓

Answer

Correct option: C.

3

(C)
Here, $f(2)=\frac{2+1}{2-1}=3$
$\therefore \quad f(f(2))=f(3)=\frac{3+1}{3-1}=\frac{4}{2}=2$
$\therefore \quad f(f(f(2)))=f(2)=\frac{2+1}{2-1}=3$

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