For the Given Functions F and G, Find the Requested $f ( x ) = 5 x ^ { 3 } - 2 ; g ( x ) = 5 x ^ { 2 } + 3$

question 76

Multiple Choice

For the given functions f and g, find the requested function and state its domain.
- $f ( x ) = 5 x ^ { 3 } - 2 ; g ( x ) = 5 x ^ { 2 } + 3$
Find $f \cdot g$ .

• A) \(( f \cdot g ) ( x ) = 5 x ^ { 3 } + 5 x ^ { 2 } - 6\); all real numbers
• B) \(( f \cdot g ) ( x ) = 25 x ^ { 6 } + 15 x ^ { 3 } - 10 x ^ { 2 } - 6\); all real numbers
• C) \(( f \cdot g ) ( x ) = 25 x ^ { 5 } + 15 x ^ { 3 } - 10 x ^ { 2 } - 6\); all real numbers
• D) \(( f \cdot g ) ( x ) = 25 x ^ { 5 } + 15 x ^ { 3 } - 10 x ^ { 2 } - 6 ; \{ x \mid x \neq 0 \}\)

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Definitions:

Beneficence

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Double Effect

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