Find the Inverse of the Function $$f ( x ) = \sqrt [ 3 ] { \frac { x } { 9 } } - 8$$

question 197

Multiple Choice

Find the inverse of the function.
- $$f ( x ) = \sqrt [ 3 ] { \frac { x } { 9 } } - 8$$

• A) \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = 27 ( \mathrm { x } + 8 )\)
• B) \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = 9 ( \mathrm { x } + 8 ) ^ { 3 }\)
• C) \(f ^ { - 1 } ( x ) = 9 \left( x ^ { 3 } + 8 \right)\)
• D) \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = [ 9 ( \mathrm { x } + 8 ) ] ^ { 3 }\)

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Definitions:

Allostasis

The concept that different circumstances require different levels of physiological activation.

Activation

The process of initiating or stimulating an action or response by the nervous system or any biological mechanism.

Endocrine System

A network of glands that produce and release hormones directly into the blood to regulate the body's growth, metabolism, and sexual development and function.

Ductless Glands

Glands that release hormones directly into the bloodstream without using ducts, also known as endocrine glands.