Determine Whether the Function Has an Inverse Function $g ( x ) = \frac { x } { 6 }$

question 36

Multiple Choice

Determine whether the function has an inverse function. If it does, find the inverse function.
$g ( x ) = \frac { x } { 6 }$

• A) \(g ^ { - 1 } ( x ) = - 6 x\)
• B) \(g ^ { - 1 } ( x ) = 6 x\)
• C) No inverse
• D) \(g ^ { - 1 } ( x ) = \frac { 6 } { x }\)
• \(g ^ { - 1 } ( x ) = - \frac { x } { 6 }\)

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Definitions:

Neurotransmitters

Chemical messengers that transmit signals across synapses from one neuron to another in the nervous system.

Monoamine Neurotransmitters

Chemical messengers in the brain that include serotonin, dopamine, and norepinephrine, involved in regulating mood, arousal, and emotion.

Acetylcholine

A neurotransmitter in both the central and peripheral nervous systems that plays a key role in muscle movement and cognitive functions.

Epinephrine

A hormone and neurotransmitter also known as adrenaline, involved in the body's fight-or-flight response.