Find the Domain of the Rational Function $$f ( x ) = \frac { 4 } { x + 4 }$$

question 51

Multiple Choice

Find the domain of the rational function.
- $$f ( x ) = \frac { 4 } { x + 4 }$$

• A) domain of \(f : ( \infty , - 4 ) \cup ( - 4 , \infty )\)
• B) domain of \(f : ( \infty , 0 ) \cup ( 0 , \infty )\)
• C) domain of \(\mathrm { f } : ( \infty , 4 ) \cup ( 4 , \infty )\)
• D) domain of \(\mathrm { f } : ( \infty , \infty )\)

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Definitions:

Paradoxical Sleep

Another term for REM (Rapid Eye Movement) sleep, characterized by rapid movements of the eyes, low muscle tone, and vivid dreams, playing a critical role in memory consolidation and mood regulation.

Dreams

Products of consciousness during sleep in which a person confuses images and fantasies with reality.

Brain Activity

The functioning and processes within the brain, encompassing everything from neural impulses to complex cognitive tasks.

Sleep Cycle

The recurring progression of stages and patterns of sleep, typically including stages of REM and non-REM sleep, which occur throughout a typical night's rest.