Use Function Notation to Write $g$ In Terms Of $f ( x ) = x ^ { 3 }$

question 64

Multiple Choice

Use function notation to write $g$ in terms of $f ( x ) = x ^ { 3 }$ .
$$g ( x ) = - \frac { 1 } { 4 } ( x + 9 ) ^ { 3 }$$

• A) \(g ( x ) = - \frac { 1 } { 4 } [ f ( x ) ] ^ { 3 } + 9\)
• B) \(g ( x ) = - \frac { 1 } { 4 } [ f ( x ) + 9 ]\)
• C) \(\quad g ( x ) = - [ f ( x ) ] ^ { 3 } + \frac { 729 } { 4 }\)
• D) \(\quad g ( x ) = - \frac { 1 } { 4 } [ f ( x ) ] ^ { 3 } + 729\)
• E) \(g ( x ) = - \frac { 1 } { 4 } [ f ( x + 9 ) ]\)

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Definitions:

Conditioned Response

A learned response to a previously neutral stimulus.

Classical Conditioning

A fundamental learning technique that involves associations between an environmental stimulus and a naturally occurring stimulus.

Unconditioned Response

A natural, unlearned reaction to an unconditioned stimulus.

Conditioned Stimulus

A formerly neutral stimulus that, after association with an unconditioned stimulus, comes to produce a conditioned response.