If the Function Is One-To-One, Find Its Inverse $$f ( x ) = x ^ { 3 } - 8$$

question 260

Multiple Choice

If the function is one-to-one, find its inverse. If not, write "not one-to-one."
- $$f ( x ) = x ^ { 3 } - 8$$

• A) not a one-to-one
• B) \(f ^ { - 1 } ( x ) = \sqrt [ 3 ] { x + 8 }\)
• C) \(f ^ { - 1 } ( x ) = \sqrt [ 3 ] { x - 8 }\)
• D) \(f ^ { - 1 } ( x ) = \sqrt [ 3 ] { x } + 8\)

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Definitions:

Falling Asleep

The process by which a person transitions from wakefulness to sleep.

REM Sleep

A sleep stage characterized by rapid eye movement, dreaming, and increased brain activity.

NREM Sleep

Non-Rapid Eye Movement sleep, a restorative sleep phase characterized by reduced physiological activity and is divided into stages reflecting depth of sleep.

REM Sleep

A stage of sleep characterized by rapid eye movements, more brain activity, and vivid dreams.