Evaluate the Following Function For $f ( x ) = - 2 x ^ { 2 } + 1$

question 6

Multiple Choice

Evaluate the following function for $f ( x ) = - 2 x ^ { 2 } + 1$ and $g ( x ) = x + 4$ algebraically.
$$\left( \frac { f } { g } \right) ( q - 4 )$$

• A) \(\frac { - 2 q ^ { 2 } + 5 } { q + 8 }\)
• B) \(\frac { - 2 q ^ { 2 } + 8 q - 31 } { q }\)
• C) \(\frac { - 2 q ^ { 2 } + 5 } { q }\)
• D) \(\frac { - 2 q ^ { 2 } + 16 q - 31 } { q }\)
• E) \(\frac { - 2 q ^ { 2 } - 3 } { q }\)

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Definitions:

Indifference Curves

Graphical representations in microeconomics that show different bundles of goods between which a consumer is indifferent.

Maximize Utility

The process of allocating resources to obtain the highest possible satisfaction or utility.

Consumer Equilibrium

A state in which consumers are maximizing their satisfaction, with no incentive to alter their allocation of expenses across goods or services.

Marginal Utility

The change in total satisfaction or utility that a person receives from consuming one additional unit of a good or service.