Solve the Problem $$f ( x ) = \sqrt { x - 5 } + 7$$

Multiple Choice

Solve the problem.
- $$f ( x ) = \sqrt { x - 5 } + 7$$

A) $f ^ { - 1 } ( x ) = ( x + 5 ) ^ { 2 } - 7 , x \geq - 5$
B) $f ^ { - 1 } ( x ) = x ^ { 2 } + 7 , x \geq 0$
C) $f ^ { - 1 } ( x ) = ( x - 7 ) ^ { 2 } + 5 , x \geq 7$
D) $\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = ( \mathrm { x } + 7 ) ^ { 2 } - 5 , \mathrm { x } \geq - 7$