Determine Whether or Not the Function F (X) = $\frac { 3 x } { x - 1 }$

question 12

Essay

Determine whether or not the function f (x) = $\frac { 3 x } { x - 1 }$ is one-to-one.

---

Definitions:

Richard Lazarus

A psychologist known for his theory on stress and coping, which suggests that stress is a result of an imbalance between demands and resources.

Positive Therapeutic Climate

An environment during therapy sessions that promotes trust, understanding, and acceptance, facilitating positive change.

Conditional Free Association

A psychological technique where individuals freely share thoughts or feelings but within certain pre-defined conditions or constraints.

Empathy

The capacity to understand or feel what another person is experiencing from within their frame of reference, i.e., the capacity to place oneself in another's position.