Find the Inverse Function of F Informally $f ( x ) = x ^ { 7 }$

question 96

Multiple Choice

Find the inverse function of f informally. $f ( x ) = x ^ { 7 }$

• A) \(f ^ { - 1 } ( x ) = 7 \sqrt { x }\)
• B) \(f ^ { - 1 } ( x ) = 2 ( \sqrt [ 7 ] { x } )\)
• C) \(f ^ { - 1 } ( x ) = ( \sqrt [ 7 ] { x } ) ^ { 7 }\)
• D) \(f ^ { - 1 } ( x ) = - \sqrt [ 7 ] { x }\)
• E) \(f ^ { - 1 } ( x ) = \sqrt [ 7 ] { x }\)

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Definitions:

Vestibular Sense

Refers to the body's sensory system that contributes to balance and spatial orientation.

Kinesthetic Sense

The sense that detects body position, movement, and the sense of muscle tension, aiding in physical coordination.

Body's Position

Refers to the orientation or posture of the human body, including how it's held or arranged in space, affecting balance, coordination, and functionality.

Absolute Threshold

The minimum intensity of a stimulus that one can detect 50% of the time.