For the Function F, Use Composition of Functions to Show $$\mathrm { f } ^ { - 1 } \text { is as given. }$$

question 12

Essay

For the function f, use composition of functions to show that f $$\mathrm { f } ^ { - 1 } \text { is as given. }$$
- $$f ( x ) = - \frac { 5 } { 3 } x , f ^ { - 1 } ( x ) = - \frac { 3 } { 5 } x$$

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Definitions:

Psychological Closeness

The perceived intimacy or connectedness between individuals, which can influence the depth of personal relationships and interactions.

Intimacy

The emotional or psychological closeness and trust built between individuals through shared experiences and personal exchanges.

Trust

A psychological state comprising the intention to accept vulnerability based upon positive expectations of the intentions or behavior of another.

Middle Adulthood

A stage of life typically considered to occur roughly between the ages of 40 to 65, characterized by stability in relationships, career, and sense of self, but also facing challenges such as aging and reflecting on life achievement.