Determine Whether the Function Has an Inverse Function $f ( x ) = x ^ { 2 } + 5$

Multiple Choice

Determine whether the function has an inverse function. If it does, find the inverse function.
$f ( x ) = x ^ { 2 } + 5$

A) No inverse function exists.
B) $f ^ { - 1 } ( x ) = \sqrt { x } + 5 , x \geq 0$
C) $f ^ { - 1 } ( x ) = \sqrt { x } - 5$
D) $f ^ { - 1 } ( x ) = \sqrt { x + 5 } , x \geq - 6$
E) $f ^ { - 1 } ( x ) = \sqrt { x - 5 }$