Evaluate the Function at the Given Value of the Independent $$f ( x ) = \frac { x ^ { 2 } + 6 } { x ^ { 3 } - 5 x } ; \quad f ( - 4 )$$

question 59

Multiple Choice

Evaluate the function at the given value of the independent variable and simplify.
- $$f ( x ) = \frac { x ^ { 2 } + 6 } { x ^ { 3 } - 5 x } ; \quad f ( - 4 )$$

• A) \(- \frac { 1 } { 2 }\)
• B) \(- \frac { 4 } { 11 }\)
• C) \(- \frac { 11 } { 32 }\)
• D) \(- \frac { 22 } { 69 }\)

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Definitions:

Rotational Equilibrium

A state wherein an object remains in balance while rotating, meaning the net torque acting on it is zero.

Utricle

Cavity in the vestibule of the vertebrate inner ear; contains sensory receptors for gravitational equilibrium.

Semicircular Canals

Three fluid-filled, looped structures in the inner ear that are involved in maintaining balance and sensing head movement.

Organ of Corti

A structure located in the cochlea of the inner ear, containing hair cells that convert sound vibrations into neural signals.