Use Function Notation to Write $g$ In Terms Of $f ( x ) = \sqrt { x }$

question 22

Multiple Choice

Use function notation to write $g$ in terms of $f ( x ) = \sqrt { x }$ . $g ( x ) = - \frac { 1 } { 3 } \sqrt { x - 8 } + 7$

• A) \(g ( x ) = - f ( x - 8 ) + 6\)
• B) \(\quad g ( x ) = - \frac { 1 } { 3 } f ( x ) - 1\)
• C)
• \(g ( x ) = - \frac { 1 } { 3 } f ( x - 8 ) + 7\)
• D) \(g ( x ) = f ( x ) + 7\)
• E) \(\quad g ( x ) = f ( x - 8 ) - \frac { 7 } { 3 }\)

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Definitions:

Marginal Cost

The rise in expenses for producing one more unit of a product or service.

Efficient Amount

The level of production or consumption that maximizes welfare and minimizes waste within an economy, often used in reference to optimal resource allocation.

Carbon Dioxide

A colorless, odorless gas produced by burning carbon and organic compounds and by respiration. It is naturally present in air and is a major component of the carbon cycle.

Public Goods

Goods that are non-rivalrous and non-excludable, meaning they can be used by everyone without preventing others from using them too.