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:

Total Flow Time

The cumulative amount of time taken for a unit of work or a product to flow through a system, including both processing and waiting times.

Fixed Order

A purchasing strategy where orders for goods or materials are made in predetermined quantities, regardless of current demand or inventory levels.

Processing Times

The amount of time required to complete a specific operation or task, including preparation, processing, and finishing times.

Dispatching Rule

A guideline or criterion used to determine the scheduling and order in which jobs should be processed in manufacturing or service operations.