The Function F Is One-To-One $$f ( x ) = \sqrt [ 3 ] { x + 5 }$$

question 167

Multiple Choice

The function f is one-to-one. Find its inverse.
- $$f ( x ) = \sqrt [ 3 ] { x + 5 }$$

• A) \(f ^ { - 1 } ( x ) = \frac { 1 } { x ^ { 3 } - 5 }\)
• B) \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \mathrm { x } - 5\)
• C) \(f ^ { - 1 } ( x ) = x ^ { 3 } + 25\)
• D) \(f ^ { - 1 } ( x ) = x ^ { 3 } - 5\)

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Definitions:

Implied Authority

Authority of an agent that is not explicitly stated but is deemed necessary to carry out express authority.

Duty of Performance

An obligation of a party in a contract to fulfill the terms and conditions as agreed within the contract.

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A term used to describe the level of competence that a professional or practitioner is expected to display in their field, often used in legal contexts to establish standards for professional services.

Fiduciary

A person who holds a position of trust, required to act for the benefit of another party with respect to specific duties.