$f : [ 1 , \infty ) \rightarrow [ 1 , \infty )$ is a function and
$$f \left( e ^ { x } \right) = \sqrt { x } + 1$$
Given this, what is the value of $f ^ { - 1 } ( 2 )$?
A) 1
B) $e - 1$
C) e
D) $e ^ { 2 }$
E) $\ln 2$
$f : [ 1 , \infty ) \rightarrow [ 1 , \infty )$ is a function and

$$f \left( e ^ { x } \right) = \sqrt { x } + 1$$

Given this, what is the value of $f ^ { - 1 } ( 2 )$?\\
A) 1\\
B) $e - 1$\\
C) e\\
D) $e ^ { 2 }$\\
E) $\ln 2$