Find the Domain of the Composite Function F∘g $$f ( x ) = \frac { 8 } { x + 8 } , \quad g ( x ) = \frac { 24 } { x }$$

question 323

Multiple Choice

Find the domain of the composite function f∘g.
- $$f ( x ) = \frac { 8 } { x + 8 } , \quad g ( x ) = \frac { 24 } { x }$$

• A) \(( - \infty , - 3 )\) or \(( - 3,0 )\) or \(( 0 , \infty )\)
• B) \(( - \infty , - 8 )\) or \(( - 8,0 )\) or \(( 0 , \infty )\)
• C) \(( - \infty , - 8 )\) or \(( - 8 , - 3 )\) or \(( - 3,0 )\) or \(( 0 , \infty )\)
• D) \(( - \infty , \infty )\)

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Definitions:

Anterior

Referring to the front or towards the front of the body; opposite of posterior.

Limbic System

A complex system of nerves and networks in the brain, involved in the control of behavior and the formation of emotions.

Lateral Geniculate

A part of the thalamus that acts as a primary processing center for visual information received from the retina.

Dentate Gyrus

A part of the hippocampus involved in memory formation, thought to contribute to the generation of new memories.