For the Given Functions F and G, Find the Requested $f ( x ) = x ^ { 2 } + 6 , g ( x ) = x ^ { 2 } - 2 ; \quad$

question 190

Multiple Choice

For the given functions f and g, find the requested composite function.
- $f ( x ) = x ^ { 2 } + 6 , g ( x ) = x ^ { 2 } - 2 ; \quad$ Find the function $f \circ g$ .

• A) \(x ^ { 4 } - 4 x ^ { 2 } + 10\)
• B) \(x ^ { 4 } + 34\)
• C) \(x ^ { 4 } + 10\)
• D) \(x ^ { 4 } + 12 x ^ { 2 } + 34\)

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Definitions:

Frontal Lobes

The part of the cerebral cortex that lies at the front of the brain, associated with reasoning, planning, parts of speech, movement, emotions, and problem solving.

Hippocampus

A brain region involved in memory formation, navigation, and emotional processing.

Hypothalamus

A neural structure located below the thalamus; it directs several maintenance activities (eating, drinking, body temperature), helps govern the endocrine system via the pituitary, and is linked to emotion and reward.

Violent Crime

A category of crime that involves force or the threat of force against a person, including offenses like murder, assault, and robbery.