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

question 74

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) \(( \mathrm { f } \cdot \mathrm { g } ) ( \mathrm { x } ) = 21 \mathrm { x } ^ { 2 } + 58 \mathrm { x } + 21\); 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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Definitions:

Higher-Order Conditioning

A form of learning in which a stimulus is first made meaningful through classical conditioning. Then, another stimulus is paired with the first, causing the second stimulus to elicit the conditioned response even in the absence of the first.

Shaping

A method of positively reinforcing behaviors that are successively closer to the desired behavior.

Extinguish

In the context of psychology, to gradually reduce or eliminate a learned response by ceasing to reinforce the behavior.

Loudness

The perception of the intensity or volume of a sound, influenced by its amplitude and frequency, and measured in decibels.