Find the Inverse Function Of $f$ $$f ( x ) = x ^ { 9 } - 2$$

question 30

Multiple Choice

Find the inverse function of $f$ .
$$f ( x ) = x ^ { 9 } - 2$$

• A) \(f ^ { - 1 } ( x ) = - \sqrt [ 9 ] { x } - 2\)
• B) \(f ^ { - 1 } ( x ) = \sqrt [ 9 ] { x } - 2\)
• C) \(f ^ { - 1 } ( x ) = - \sqrt [ 9 ] { x - 2 }\)
• D) \(f ^ { - 1 } ( x ) = \sqrt [ 9 ] { x + 2 }\)
• E) \(f ^ { - 1 } ( x ) = \sqrt [ 9 ] { x } + 2\)

---

Definitions:

Conditioned Response

A learned reaction to a previously neutral stimulus that has been repeatedly presented along with an unconditioned stimulus.

Flap Their Wings

A phrase describing the action birds, and some insects, perform to take off, fly, or maintain altitude by moving their wings up and down.

Shock Avoidance

A behavioral principle where organisms learn to perform actions to prevent or avoid an unpleasant or painful stimulus.

Conditioned Response

A learned response to a previously neutral stimulus that has become associated with a biologically significant stimulus through conditioning.