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) \(f ^ { - 1 } ( x ) = \sqrt [ 3 ] { x } - 4\)

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Definitions:

Exhaustive Exclusions

A principle where all possible alternatives or options are considered and then systematically rejected or excluded until a conclusion is reached.

Consistent Principle

A rule or concept that does not contradict itself and is coherent with other principles within the same theoretical framework.

Pentagonal

Having five angles and five sides; specifically referring to geometrical shapes.

Round

Characterizes an object with a circular shape or a process of rounding numbers to a specified degree of accuracy.