Decide Whether the Composite Functions, F ∘ G and G

question 44

Multiple Choice

Decide whether the composite functions, f ∘ g and g ∘ f, are equal to x.
-f(x) = , g(x) =

• A)Yes, yes
• B)No, no
• C)No, yes
• D)Yes, no

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Definitions:

Formal Rationality

A decision-making process focused on efficiency, predictability, calculability, and dehumanization, often associated with bureaucratic organizations.

Industrial Era

A period in history characterized by significant technological advancements and the rise of industrial production from the late 18th to the early 20th century.

Bureaucracy

An organizational structure characterized by hierarchical authority, rigid division of labor, written rules, and impersonal relationships, primarily in governmental and large institutional settings.

Rational-legal Authority

A form of leadership in which authority is largely tied to legal rationality, legal legitimacy, and bureaucracy.