Determine Whether the Given Function Is One-To-One $$f ( x ) = x ^ { 3 } + 1$$

Multiple Choice

Determine whether the given function is one-to-one. If so, find a formula for the inverse.
- $$f ( x ) = x ^ { 3 } + 1$$

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