If the Function Is One-To-One, Find Its Inverse $$f ( x ) = - 6 x + 1$$

question 344

Multiple Choice

If the function is one-to-one, find its inverse. If not, write ʺnot one-to-one.ʺ
- $$f ( x ) = - 6 x + 1$$

• A) \(f ^ { - 1 } ( x ) = - \frac { 1 } { 6 } x + 1\)
• B) \(f ^ { - 1 } ( x ) = - \frac { 1 } { 6 } x - \frac { 1 } { 6 }\)
• C) \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = - \frac { 1 } { 6 } x - 1\)
• D) \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = - \frac { 1 } { 6 } x + \frac { 1 } { 6 }\)

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Definitions:

Fermentation

A metabolic process that converts sugar to acids, gases, or alcohol in the absence of oxygen.

Anaerobic Process

A metabolic process that occurs in the absence of oxygen, used by certain organisms to generate energy.

Electron Transport Chain

A series of complexes that transfer electrons from electron donors to electron acceptors via redox reactions, coupled with the transfer of protons across a membrane, to create a proton gradient that drives ATP synthesis.

Citric Acid Cycle

The citric acid cycle, also known as the Krebs cycle or TCA cycle, is a series of chemical reactions used by all aerobic organisms to generate energy through the oxidation of acetate derived from carbohydrates, fats, and proteins into carbon dioxide.