Find the Inverse of the Function $$f ( x ) = e ^ { - x } + 2$$

Multiple Choice

Find the inverse of the function.
- $$f ( x ) = e ^ { - x } + 2$$

A) $f ^ { - 1 } ( x ) = - e ^ { x } - 2$
B) $\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \mathrm { e } ^ { \mathrm { x } } - \frac { 1 } { \mathrm {~s} }$
C) $f ^ { - 1 } ( x ) = - \ln ( x - 2 )$
D) $f ^ { - 1 } ( x ) = \ln 2 - \ln x$