The Function F Is One-To-One $$f ( x ) = x ^ { 3 } + 4$$

question 218

Multiple Choice

The function f is one-to-one. Find its inverse.
- $$f ( x ) = x ^ { 3 } + 4$$

• A) \(f ^ { - 1 } ( x ) = \sqrt [ 3 ] { x - 4 }\)
• B) \(f ^ { - 1 } ( x ) = \sqrt [ 3 ] { x + 4 }\)
• C) \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \sqrt [ 3 ] { \mathrm { x } } + 4\)
• D) \(f ^ { - 1 } ( x ) = \sqrt [ 3 ] { x } - 4\)

---

Definitions:

Needs Hierarchy

A psychological theory proposing that human needs are arranged in a hierarchical order, with physical needs at the base and self-actualization needs at the top.

Social Animal

An organism that highly engages in social behaviors and interactions, relying on group cooperation for survival and well-being.

Aristotle

An ancient Greek philosopher and scientist, who made significant contributions to a wide range of fields, including logic, ethics, biology, and politics.

Charles Darwin

A British naturalist known for his contributions to the understanding of evolution through natural selection.