If f : [1, ) [2, ) is given by f(x)=x+1 x , then f^ -1 equals to: - Vidyadip

MCQ

If $f : [1, \infty) \rightarrow [2, \infty)$ is given by $\text{f(x)}=\text{x}+\frac{1}{\text{x}},$ then $f^{-1}$ equals to:

✓
$\frac{\text{x}+\sqrt{\text{x}^2-4}}{2}$
B
$\frac{\text{x}}{1+\text{x}^2}$
C
$\frac{\text{x}-\sqrt{\text{x}^2-4}}{2}$
D
$1+\sqrt{\text{x}^2-4}$

✓

Answer

Correct option: A.

$\frac{\text{x}+\sqrt{\text{x}^2-4}}{2}$

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