Find the Domain of the Rational Function $$f ( x ) = \frac { x + 8 } { x ^ { 2 } + 25 }$$

question 46

Multiple Choice

Find the domain of the rational function.
- $$f ( x ) = \frac { x + 8 } { x ^ { 2 } + 25 }$$

• A) all real numbers
• B) \(\{ x \mid x \neq - 5 , x \neq 5 \}\)
• C) \(\{ x \mid x \neq 0 , x \neq - 25 \}\)
• D) \(\{ x \mid x \neq - 5 , x \neq 5 , x \neq - 8 \}\)

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Definitions:

Depressant

A class of drugs that reduce the functioning of the nervous system and lead to decreased arousal or stimulation.

Stimulant

A substance that raises levels of physiological or nervous activity in the body, often leading to increased alertness or energy.

Neurotransmitters

Neurotransmitters are chemical messengers that transmit signals across a synapse from one neuron to another, influencing mental processes and behavior.

GABA

Gamma-aminobutyric acid, a neurotransmitter in the brain that plays a key role in regulating nerve excitability and is involved in producing a calming effect.