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:

Organic Product

A compound or material derived from living organisms or produced by organic chemical reactions.

Reaction

A transformation process where reactants are converted into different substances known as products.

Ethyl Acetate

An organic compound used as a solvent in many applications, characterized by its pleasant smell and formula CH3COOCH2CH3.

Ethanol

A colorless, flammable liquid, commonly known as alcohol, used in beverages and as a solvent and fuel.