The Function F Is One-To-One $$f ( x ) = x ^ { 3 } + 1$$

question 198

Multiple Choice

The function f is one-to-one. Find its inverse.
- $$f ( x ) = x ^ { 3 } + 1$$

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

---

Definitions:

Non-nutritious Foods

Foods that provide little to no nutritional value, often high in calories, fats, sugars, or additives.

Contradictory Propositions

Propositions that cannot both be true at the same time and under the same circumstances, as they express opposing assertions.

Shading

The technique in drawing and art of adding darkness to convey the sense of depth, volume, or to create the illusion of shadow.

Noncontradictory Propositions

Statements or claims that do not contradict each other, meaning they can both be true at the same time in the same context.