$$\text { Suppose } g \text { is the inverse function of a differentiable function } f \text { and } G ( x ) = \frac { 1 } { g ( x ) } \text {. }$$

question 122

Short Answer

$$\text { Suppose } g \text { is the inverse function of a differentiable function } f \text { and } G ( x ) = \frac { 1 } { g ( x ) } \text {. }$$ $$\text { If } f ( 4 ) = 3 \text { and } f ^ { t } ( 4 ) = \frac { 1 } { 16 } \text {, find } G ^ { t } ( 3 )$$

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Definitions:

Total Utility

Total utility is the total satisfaction or benefit a consumer receives from consuming a given total quantity of a good or service.

Indifference Map

A graph representing a set of indifference curves to illustrate consumer preferences for different combinations of goods, assuming equal satisfaction.

Total Utility

The total satisfaction received from consuming a particular quantity of goods or services.

Money Income

The complete sum of money earned by an individual or a household that includes earnings from work, salaries, and additional income sources.