Determine Whether the Given Function Is One-To-One $f ( x ) = x ^ { 3 } + 6$

Multiple Choice

Determine whether the given function is one-to-one. If it is one-to-one, find its inverse function.
- $f ( x ) = x ^ { 3 } + 6$

A) $f ^ { - 1 } ( x ) = \sqrt [ 3 ] { x } - 6$
B) $f ^ { - 1 } ( x ) = \sqrt [ 3 ] { x + 6 }$
C) $f ^ { - 1 } ( x ) = \sqrt [ 3 ] { x - 6 }$
D) not a one-to-one function