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

question 56

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, \(f ^ { - 1 } ( x ) = - 2 + x , x \geq 0\)