Decide Whether the Composite Functions, F ° G and G $$f ( x ) = \sqrt { x + 1 } , g ( x ) = x ^ { 2 }$$

question 385

Multiple Choice

Decide whether the composite functions, f ° g and g ° f, are equal to x.
- $$f ( x ) = \sqrt { x + 1 } , g ( x ) = x ^ { 2 }$$

• A) Yes, yes
• B) No, yes
• C) Yes, no
• D) No, no

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Definitions:

Neutral Stimulus

A stimulus that initially produces no specific response other than focusing attention, until it is associated with an unconditioned stimulus.

Secondary Conditioner

A stimulus that becomes reinforcing through its association with a primary reinforcer.

Discriminative Response

A behavior that is specifically elicited by certain stimuli and not others, indicating the ability to differentiate between them.

Unconditioned Response

An innate, reflexive response to an unconditioned stimulus that occurs naturally without the need for prior learning.