Determine Whether the Given Function Is One-To-One $f ( x ) = \sqrt { x - 1 } , x \geq 1$

Multiple Choice

Determine whether the given function is one-to-one. If it is one-to-one, find its inverse function.
- $f ( x ) = \sqrt { x - 1 } , x \geq 1$

A) $\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \mathrm { x } ^ { 2 } - 1 , \mathrm { x } \geq 0$
B) $f ^ { - 1 } ( x ) = ( x - 1 ) ^ { 2 } , x \geq 1$
C) $f^{-1}(x) =x^{2}+1, x \geq 0$
D) not a one-to-one function