Find Functions F and G So That F ° G $$H ( x ) = | 3 x + 7 |$$

question 516

Multiple Choice

Find functions f and g so that f ° g = H.
- $$H ( x ) = | 3 x + 7 |$$

• A) \(f ( x ) = x ; g ( x ) = 3 x + 7\)
• B) \(f ( x ) = | x |\);
• \(g ( x ) = 3 x + 7\)
• C) \(f ( x ) = | - x | ; \quad g ( x ) = 3 x - 7\)
• D) \(f ( x ) = - | x | ; \quad g ( x ) = 3 x + 7\)

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Definitions:

Total Utility

The total satisfaction or benefit that a consumer derives from consuming a certain quantity of goods and services.

Marginal Utility

The change in total satisfaction or pleasure derived from consuming one more unit of a good or service.

Total Utility

The overall satisfaction or benefit a customer receives from consuming a particular good or service.

Marginal Utility

The increased happiness or usefulness gained by consuming an additional unit of a good or service.