Find the Inverse of the Function $g ( x ) = x ^ { 2 } - 16 , x \geq 0$

question 74

Multiple Choice

Find the inverse of the function. $g ( x ) = x ^ { 2 } - 16 , x \geq 0$

• A) \(g ^ { - 1 } ( x ) = - \sqrt { x + 16 }\)
• B) \(g ^ { - 1 } ( x ) = \sqrt { x + 16 }\)
• C) \(g ^ { - 1 } ( x ) = 4 + \sqrt { x }\)
• D) \(g ^ { - 1 } ( x ) = 4 - \sqrt { x }\)
• E) none of these

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Definitions:

Proletariat

The working class or laboring class; specifically, those who do not own the means of production and must sell their labor to survive.

Bourgeoisie

The middle class in capitalist societies, owning means of production and employing labor power for profit.

Instrumental Rationality

A type of reasoning or logic focused on selecting the most efficient means to achieve a specific goal or end, without necessarily considering ethical or moral implications.

Welfare Policies

Government initiatives designed to support the well-being of the population, particularly the most vulnerable, through services and financial assistance.