Find F(x) and G(x) So That the Given Function H(x) $$h ( x ) = \left| 6 - 7 x ^ { 2 } \right|$$

question 50

Multiple Choice

Find f(x) and g(x) so that the given function h(x) = (f ° g) (x) .
- $$h ( x ) = \left| 6 - 7 x ^ { 2 } \right|$$

• A) \(f ( x ) = | x | ; g ( x ) = 6 - 7 x\)
• B) \(f ( x ) = 6 - 7 x ^ { 2 } ; g ( x ) = | x |\)
• C) \(f ( x ) = 6 - 7 x ^ { 2 } ; g ( x ) = \left| x ^ { 2 } \right|\)
• D) \(f ( x ) = | x | ; g ( x ) = 6 - 7 x ^ { 2 }\)

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Definitions:

Representative Democracy

A form of democracy in which citizens elect officials to represent them in making laws and policy decisions on their behalf, rather than voting on legislation directly.

Majority Rule

A decision-making process that follows the preference of more than half of the members in a group.

Public Choice Analysis

An economic theory that studies how public decisions are made, considering individuals as rational actors who pursue their self-interest.