Find F(x) and G(x) Such That H(x) = $(f \circ g)(x)$

question 34

Multiple Choice

Find f(x) and g(x) such that h(x) = $(f \circ g) (x)$ .
- $$h ( x ) = ( \sqrt { x } - 7 ) ^ { 2 }$$

• A) \(f ( x ) = x ^ { 2 } , g ( x ) = \sqrt { x } - 7\)
• B) \(f ( x ) = \sqrt { x } - 7 , g ( x ) = x ^ { 2 }\)
• C) \(f ( x ) = \sqrt { x ^ { 2 } } , g ( x ) = x - 7\)
• D) \(f ( x ) = \sqrt { x } , g ( x ) = ( x - 7 ) ^ { 2 }\)

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Definitions:

Formal Authority

Power or right granted to an individual or organization to make decisions, issue commands, and enforce obedience, typically within a hierarchical structure.

Socially Constructed Leadership

Leadership viewed as a social construct, emphasizing the roles of social interactions and perceptions in defining who is considered a leader and what leadership means in different contexts.

Relational Interactions

The dynamic process of engagement between two or more individuals, affecting their relationship over time.

Leader-member Exchange Theory

A theory that focuses on the two-way (dyadic) relationship between leaders and followers, emphasizing that the quality of this relationship influences outcomes.