Find the Inverse of the One-To-One Function $f ( x ) = \sqrt [ 3 ] { x - 8 }$

question 108

Multiple Choice

Find the inverse of the one-to-one function.
- $f ( x ) = \sqrt [ 3 ] { x - 8 }$

• A) \(f ^ { - 1 } ( x ) = \frac { 1 } { x ^ { 3 } + 8 }\)
• B) \(f ^ { - 1 } ( x ) = x ^ { 3 } + 64\)
• C) \(f ^ { - 1 } ( x ) = x + 8\)
• D) \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \mathrm { x } ^ { 3 } + 8\)

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Definitions:

Directed Collisions

Intentional interactions between particles, atoms, or molecules, often utilized in experimental physics to study fundamental forces and reactions.

Particle Energy

The energy contained by a particle, contributed by its motion (kinetic), position (potential), or other properties.

Collision Theory

Collision theory explains how chemical reactions occur and why reaction rates differ for different reactions. It posits that for a reaction to occur, reactant particles must collide with sufficient energy and proper orientation.

Product Formation

The process in which chemical reactants transform into products in a chemical reaction.