Write the Word or Phrase That Best Completes Each Statement $$f ( x ) = \frac { x + 8 } { x - 7 } \text { and } g ( x ) = \frac { 7 x + 8 } { x - 1 }$$

question 216

Essay

Write the word or phrase that best completes each statement or answers the question.
Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x.
- $$f ( x ) = \frac { x + 8 } { x - 7 } \text { and } g ( x ) = \frac { 7 x + 8 } { x - 1 }$$

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Definitions:

Economic Income

The total value of all income earned, including both monetary sources and the monetary value of benefits such as stock options or health insurance.

Taxable Income

The portion of an individual's or entity's income used to determine how much tax is owed to the government in a given tax year.

House Values

The monetary worth or price of a residential property, which can fluctuate based on market conditions, location, and property features.

Distorting Taxes

Taxes that alter the allocation of resources and change consumer or producer behavior, leading away from an efficient market outcome.