Find the Domain of the Rational Function $$f ( x ) = \frac { 5 x } { ( x - 6 ) ( x + 8 ) }$$

question 134

Multiple Choice

Find the domain of the rational function.
- $$f ( x ) = \frac { 5 x } { ( x - 6 ) ( x + 8 ) }$$

• A) \(\{ x \mid x \neq - 6 , x \neq 8 \}\)
• B) all real numbers
• C) \(\{ x \mid x \neq 6 , x \neq - 8 \}\)
• D) \(\{ x \mid x \neq 6 , x \neq - 8 , x \neq - 5 \}\)

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Definitions:

Humerus

The long bone in the arm or forelimb that runs from the shoulder to the elbow.

Pectoralis Minor

A thin, triangular muscle located beneath the pectoralis major, involved in movements of the shoulder and scapula.

Serratus Anterior

A muscle on the side of the chest that assists in moving the shoulder blade.

Subclavius

A small muscle located under the clavicle, which plays a role in stabilizing the clavicle during arm and shoulder movements.