Given F(x) and G(x), Find the Indicated Composition and State $$f ( x ) = x ^ { 2 } + 1 , g ( x ) = 5 x + 1$$

question 10

Multiple Choice

Given f(x) and g(x) , find the indicated composition and state its domain.
- $$f ( x ) = x ^ { 2 } + 1 , g ( x ) = 5 x + 1$$
Find $( f \circ g ) ( x )$ .

• A) \(25 x ^ { 2 } + 10 x + 1\), all real numbers
• B) \(5 x ^ { 2 } + 6\), all real numbers
• C) \(25 x ^ { 2 } + 5 x + 2\), all real numbers
• D) \(25 x ^ { 2 } + 10 x + 2\), all real numbers

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Definitions:

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The gradual reduction of the book value of an intangible asset or the paying down of a debt over a fixed period of time.

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