Write the Function F(x) as a Composition of F, G $\begin{array} { l } f ( x ) = x ^ { 2 } - 2 \quad g ( x ) = - 6 x \quad h ( x ) = \sqrt { x + 7 } \\F ( x ) = \sqrt { - 6 x + 7 }\end{array}$

question 286

Multiple Choice

Write the function F(x) as a composition of f, g, or h.
- $\begin{array} { l } f ( x ) = x ^ { 2 } - 2 \quad g ( x ) = - 6 x \quad h ( x ) = \sqrt { x + 7 } \\F ( x ) = \sqrt { - 6 x + 7 }\end{array}$

• A) \(F ( x ) = ( f \circ h ) ( x )\)
• B) \(F ( x ) = ( g \circ h ) ( x )\)
• C) \(F ( x ) = ( h \circ f ) ( x )\)
• D) \(F ( x ) = ( h \circ g ) ( x )\)

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Definitions:

Hidden Characteristic

A quality of a product or service that is not immediately observable to the buyer, often leading to information asymmetry in the market.

Transitive

In logic and mathematics, transitive refers to a relation where if it applies between successive pairs in a sequence, it also applies between any two members taken in order. For example, if A is larger than B, and B is larger than C, then A is larger than C.

Preferences

Indications of the choices or selections made by individuals or groups based on tastes, likes, or desires, often influencing decision-making.

Condorcet Voting Paradox

A situation in social choice theory where collective preferences can be cyclic (i.e., not transitive), even if the individual preferences of voters are not.