Determine whether the function has an inverse function.If it does,find the inverse function.? $f ( x ) = \left\{ \begin{array} { l }
x + 2 , x

Question

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

Quizplus · Accepted Answer

The function $f(x)$ is not one-to-one because it is not strictly increasing or decreasing over its entire domain. Therefore, it does not have an inverse function.

Determine Whether the Function Has an Inverse Function B)

Determine Whether the Function Has an Inverse Function

B)