For the Given Functions F and G, Find the Requested $f ( x ) = 8 x ^ { 3 } ; g ( x ) = 3 x ^ { 2 } \quad$

question 89

Multiple Choice

For the given functions f and g, find the requested function.
- $f ( x ) = 8 x ^ { 3 } ; g ( x ) = 3 x ^ { 2 } \quad$ Find $( f \cdot g ) ( x )$ .

• A) \(( \mathrm { f } \cdot \mathrm { g } ) ( \mathrm { x } ) = 24 \mathrm { x } ^ { 5 }\)
• B) \(( \mathrm { f } \cdot \mathrm { g } ) ( \mathrm { x } ) = - 24 \mathrm { x } ^ { 5 }\)
• C) \(( \mathrm { f } \cdot \mathrm { g } ) ( \mathrm { x } ) = - 24 \mathrm { x } ^ { 6 }\)
• D) \(( f \cdot g ) ( x ) = 24 x ^ { 6 }\)

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Definitions:

Aggregate Demand Curve

A graphical representation showing the relationship between the overall price level and the total demand for all goods and services in an economy.

Quantity of Output

The total amount of goods or services produced by a company, sector, or economy within a specific period.

Price Level

The overall average price of all goods and services currently made in the economy.

Classical Theory

A school of thought in economics that emphasizes free markets, competition, and the minimal involvement of government in the economy.