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

question 81

Essay

For the function f, use composition of functions to show that f $\mathrm { f } ^ { - 1 } \text { is as given. }$
- $$f ( x ) = \frac { 7 } { 4 } x , f ^ { - 1 } ( x ) = \frac { 4 } { 7 } x$$

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Definitions:

Principal

The original sum of money lent or invested, excluding any profits or interest generated from it.

Commission

A fee paid to an agent in a transaction, typically calculated as a percentage of the sale price.

Car Salesman

A person who sells new or used vehicles at a dealership.

Margins

The difference between the selling price of a good or service and its cost of production, often expressed as a percentage of the selling price, indicative of profitability.