Determine Whether the Function Has an Inverse Function

B)

Multiple Choice

Determine whether the function has an inverse function.If it does,find the inverse function.? f ( x ) = \left\{ \begin{array} { l } x + 2 , x < 0 \\2 - x , x \geq 0\end{array} \\) ?A) \(f ^ { - 1 } ( x ) = \left\{ \begin{array} { l } 2 + x , x \geq 0 \\x - 2 , x < 0\end{array} \right. .

B) $f ^ { - 1 } ( x ) = \left\{ \begin{array} { l } 2 + x , x \geq 0 \\x - 2 , x < 0\end{array} \right.$

C) $f ^ { - 1 } ( x ) = \left\{ \begin{array} { l } x - 2 , x \geq 0 \\2 + x , x < 0\end{array} \right.$

D) $f ^ { - 1 } ( x ) = \left\{ \begin{array} { l } x + 2 , x \geq 0 \\2 - x , x < 0\end{array} \right.$ .

E) No inverse