Perform the Indicated Operation $$\frac { x } { 36 - x ^ { 2 } } + \frac { 2 } { 6 x - 36 }$$

question 3

Multiple Choice

Perform the indicated operation. Simplify if possible.
- $$\frac { x } { 36 - x ^ { 2 } } + \frac { 2 } { 6 x - 36 }$$

• A) \(\frac { - 4 x - 12 } { 6 ( x + 6 ) ( x - 6 ) }\)
• B) \(\frac { - 4 x + 12 } { 6 ( x + 6 ) ( x - 6 ) }\)
• C) \(\frac { 4 x - 12 } { 6 ( x + 6 ) ( x - 6 ) }\)
• D) \(\frac { x + 2 } { 6 ( x + 6 ) ( x - 6 ) }\)

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Definitions:

Serotonin Agonist

A type of drug that mimics the effects of serotonin, a neurotransmitter, by stimulating its receptors in the brain, often used to treat depression and other mood disorders.

Acetylcholine

Acetylcholine is a neurotransmitter in both the central and peripheral nervous systems, involved in muscle activation, learning, and memory.

Nicotine

An addictive chemical found in tobacco products that stimulates the brain and enhances feelings of pleasure and arousal.

Monoamine

A category of neurotransmitter that includes serotonin, dopamine, and norepinephrine, which play key roles in regulating mood, arousal, and cognition.