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:

Phlegmatic

Describes a personality type characterized by calm, unemotional, and relaxed traits.

Choleric

One of the four temperament types, characterized by a quick, intense, and easily provoked nature.

Melancholic

Describes a type of depression characterized by a profound feeling of sadness or despair that is deeper than typical sadness.

Sanguine

Refers to a personality type characterized by optimism, liveliness, and a generally positive and carefree attitude.