# Inverse of Absolute Value Function

Algebra Level 3

Consider the function $$f: [ -1, \infty) \rightarrow \mathbb{R}$$, given by $$f(x)=|x+1|+1$$.

Which of the following must be in the domain of the inverse function $$f^{-1}(x)$$?

I: $$-1$$.
II: $$0$$.
III: $$1$$.

 Notation: $$| \cdot |$$ denotes the absolute value function.

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