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:

Flexion

The action of bending or the condition of being bent, especially of a joint or limb.

Condylar Joint

A type of synovial joint that allows movement but restricts rotation. It's found in places like the knee and elbow.

Metacarpophalangeal

Joints located at the base of the fingers, connecting the metacarpal bones of the hand to the proximal phalanges of the fingers.

Carpalmetacarpal

Refers to the joints formed between the carpal (wrist) bones and the metacarpal bones of the hand.