Write the Function F(x) as a Composition of F, G $\begin{array} { l } f ( x ) = x ^ { 2 } - 6 \quad g ( x ) = 4 x \quad h ( x ) = \sqrt { x - 7 } \\F ( x ) = \sqrt { 4 x - 7 }\end{array}$

question 59

Multiple Choice

Write the function F(x) as a composition of f, g, or h.
- $\begin{array} { l } f ( x ) = x ^ { 2 } - 6 \quad g ( x ) = 4 x \quad h ( x ) = \sqrt { x - 7 } \\F ( x ) = \sqrt { 4 x - 7 }\end{array}$

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

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Definitions:

Total Surplus

The sum of consumer surplus and producer surplus in a market, representing the total net benefit to society from the production and consumption of goods and services.

Equilibrium

A state in which market supply and demand balance each other, resulting in stable prices and quantities.

Positively Sloped

A line or curve on a graph that moves upward and to the right, indicating a direct relationship between two variables.

Negatively Sloped

Describes a line on a graph that moves downward from left to right, indicating an inverse relationship between two variables.