fiNd the Inverse of the Function F or Else Explain

question 142

Short Answer

find the inverse of the function f or else explain why the function has no inverse.
- $$f : \mathbf { Z } \rightarrow \mathbf { Z } \text { where } f ( x ) = \left\{ \begin{array} { l l } x - 2 & \text { if } x \geq 5 \\x + 1 & \text { if } x \leq 4\end{array} \right.$$

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Definitions:

Psychological Theories

Systematic frameworks for understanding, predicting, and often altering human behavior and mental processes.

Therapeutic Methods

Techniques or strategies used in therapy to treat psychological disorders and improve mental health.

Therapeutic Alliance

The collaborative and trusting relationship between a therapist and client, crucial for effective therapy.

Empathic

The ability to understand and share the feelings of another person from their perspective.