For the Given Functions F and G, Find the Requested $$f ( x ) = 7 x + 3 ; g ( x ) = 3 x + 7$$

question 97

Multiple Choice

For the given functions f and g, find the requested function and state its domain.
- $$f ( x ) = 7 x + 3 ; g ( x ) = 3 x + 7$$
Find f $\cdot g .$

• A) \(( f \cdot g ) ( x ) = 21 x ^ { 2 } + 21 ; \{ x \mid x \neq 21 \}\)
• B) \(( f \cdot g ) ( x ) = 21 x ^ { 2 } + 58 x + 21\); all real numbers
• C) \(( f \cdot g ) ( x ) = 10 x ^ { 2 } + 58 x + 10\); all real numbers
• D) \(( f \cdot g ) ( x ) = 21 x ^ { 2 } + 16 x + 21 ; \{ x \mid x \neq 21 \}\)

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The effect of compounding interest, where interest earned accrues additional interest over time.