If the Function Is One-To-One, Find Its Inverse $$f ( x ) = \sqrt [ 3 ] { x + 2 }$$

question 407

Multiple Choice

If the function is one-to-one, find its inverse. If not, write ʺnot one-to-one.ʺ
- $$f ( x ) = \sqrt [ 3 ] { x + 2 }$$

• A) \(f ^ { - 1 } ( x ) = ( x + 2 ) ^ { 3 }\)
• B) \(f ^ { - 1 } ( x ) = ( x - 2 ) ^ { 3 }\)
• C) \(f ^ { - 1 } ( x ) = \sqrt [ 3 ] { x } + 2\)
• D) \(f ^ { - 1 } ( x ) = x ^ { 3 } - 2\)

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Definitions:

Superior Rectus

A muscle in the orbit of the eye that primarily allows for upward movement of the eye.

Inferior Rectus

is an eye muscle that is part of the extraocular muscles, responsible for moving the eyeball downward.

Inferior Oblique

A muscle in the eye that enables eye movement, specifically rotating the eye upward and toward the nose.

Lateral Rectus

A muscle in the eye responsible for moving the eyeball laterally, controlling horizontal eye movements.