Write the Function F(x) as a Composition of F, G $\begin{array} { l } f ( x ) = x ^ { 2 } - 6 \quad g ( x ) = - 5 x \quad h ( x ) = \sqrt { x + 5 } \\F ( x ) = - 5 x ^ { 2 } + 30\end{array}$

question 113

Multiple Choice

Write the function F(x) as a composition of f, g, or h.
- $\begin{array} { l } f ( x ) = x ^ { 2 } - 6 \quad g ( x ) = - 5 x \quad h ( x ) = \sqrt { x + 5 } \\F ( x ) = - 5 x ^ { 2 } + 30\end{array}$

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

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Definitions:

Prisoner's Dilemma

A standard example of a game analyzed in game theory that shows why two completely rational individuals might not cooperate, even if it appears that it is in their best interest to do so.

Market Share

The share of a market that a certain company or product holds, frequently quantified as a proportion of the market's total sales.

Near-monopolies

Companies or entities that dominate a market to such an extent that they face little competition, often controlling prices and supply in the market.

Oligopolistic Competition

A market structure in which a few large firms dominate the market, with limited competition between them.