If the Function Is One-To-One, Find Its Inverse $$f ( x ) = - \sqrt { x ^ { 2 } - 25 } , x \geq 5$$

Multiple Choice

If the function is one-to-one, find its inverse. If not, write ʺnot one-to-one.ʺ
- $$f ( x ) = - \sqrt { x ^ { 2 } - 25 } , x \geq 5$$

A) $f ^ { - 1 } ( x ) = \sqrt { x ^ { 2 } + 25 } , x \geq 0$
B) $f ^ { - 1 } ( x ) = - \sqrt { 25 - x ^ { 2 } } , x \leq 0$
C) $f ^ { - 1 } ( x ) = \sqrt { 25 - x ^ { 2 } } , x \leq 5$
D) $\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \sqrt { \mathrm { x } ^ { 2 } + 25 } , \mathrm { x } \leq 0$