Determine Whether the Function Has an Inverse Function, If It $f ( x ) = | x - 2 | , x \leq 2$

Multiple Choice

Determine whether the function has an inverse function, If it does, find its inverse function. $f ( x ) = | x - 2 | , x \leq 2$

A) No, $f$ does not have an inverse function.
B) Yes, $f$ has an inverse function, $f ^ { - 1 } ( x ) = 2 - x , x \geq 0$
C) Yes, $f$ has an inverse function, $f ^ { - 1 } ( x ) = - 2 - x , x \geq 0$
D) Yes, $f$ has an inverse function, $f ^ { - 1 } ( x ) = 2 + x , x \geq 0$
E) Yes, $f$ has an inverse function, $f ^ { - 1 } ( x ) = - 2 + x , x \geq 0$