Find the Domain Of $f$ $f ( x ) = \frac { 8 } { 6 x ^ { 2 } + 18 x - 108 }$

question 3

Multiple Choice

Find the domain of $f$ . $f ( x ) = \frac { 8 } { 6 x ^ { 2 } + 18 x - 108 }$

• A) \(( - \infty , - 6 ] \cup [ 3 , \infty )\)
• B) \(( - \infty , - 6 ) \cup ( 3 , \infty )\)
• C) \(( - \infty , - 6 ) \cup ( - 6,3 ) \cup ( 3 , \infty )\)
• D) \(( - \infty , - 7 ] \cup [ 7 , \infty )\)
• E) \(( - \infty , - 7 ) \cup ( - 7,7 ) \cup ( 7 , \infty )\)

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Definitions:

Action Potential

A rapid rise and fall in electrical charge across a cell's membrane, allowing for nerve signal transmission.

Potassium

A chemical element with the symbol K, essential for various bodily functions including nerve signal transmission and muscle contraction.

Sodium

A chemical element (symbol Na) that is essential for the body's fluid balance and nerve and muscle function, often regulated through diet.

Excitation

The process of causing a neuron or muscle cell to become more active or aroused.