For the Given Functions F and G, Find the Requested $f ( x ) = 2 x + 1 ; g ( x ) = 3 x + 9 \quad$

question 181

Multiple Choice

For the given functions f and g, find the requested function.
- $f ( x ) = 2 x + 1 ; g ( x ) = 3 x + 9 \quad$ Find $( f \cdot g ) ( x )$

• A) \(( f \cdot g ) ( x ) = 6 x ^ { 2 } + 9\)
• B) \(( f \cdot g ) ( x ) = 5 x ^ { 2 } + 21 x + 10\)
• C) \(( f \cdot g ) ( x ) = 6 x ^ { 2 } + 12 x + 9\)
• D) \(( f \cdot g ) ( x ) = 6 x ^ { 2 } + 21 x + 9\)

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Definitions:

Sugar Plantation

Large agricultural estates where sugar cane is grown and processed, historically reliant on slave labor in the Americas and the Caribbean.

Rice Plantation

A large agricultural estate specifically designed for the cultivation of rice, often found in the southern United States before the Civil War, and reliant on enslaved labor.

Harsh Conditions

Refers to environments or situations that are extremely difficult to endure or survive in due to severe weather, lack of resources, or challenging circumstances.

Task Labor System

A labor system, notably used in plantation agriculture, where enslaved people were assigned specific tasks to complete each day, after which they had some degree of autonomy.