Write the Function F(x) as a Composition of F, G $\begin{array} { l } f ( x ) = x ^ { 2 } + 8 \quad g ( x ) = 2 x \quad h ( x ) = \sqrt { x + 5 } \\F ( x ) = x + 13\end{array}$

question 214

Multiple Choice

Write the function F(x) as a composition of f, g, or h.
- $\begin{array} { l } f ( x ) = x ^ { 2 } + 8 \quad g ( x ) = 2 x \quad h ( x ) = \sqrt { x + 5 } \\F ( x ) = x + 13\end{array}$

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

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Definitions:

Central Planning

A system where the government or a centralized authority makes all decisions about the production and distribution of goods and services.

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The total production of goods and services by all firms in a particular industry over a specific time period.

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A sequence of reactions where a reactive product or by-product causes additional reactions to take place, often leading to a self-sustaining series of events.

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