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

Question

If $\text{x}\neq1$ and $\text{f(x)}=\frac{\text{x}+1}{\text{x}-1}$ is a real function, then $\text{f}(\text{f}(\text{f(2)}))$ is:

1
2
3
4

✓

Answer

3

Solution:

$\text{f(x)}=\frac{\text{x}+1}{\text{x}-1}$

$\text{f}(\text{f}(\text{f(2)}))$

$=\text{f}\Big(\text{f}\Big(\frac{2+1}{2-1}\Big)\Big)$

$=\text{f}(\text{f}(3))$

$=\text{f}\Big(\frac{3+1}{3-1}\Big)$

$=\text{f}(2)=3$

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