Find the Inverse Function $\mathrm { f } ^ { - 1 }$

question 381

Multiple Choice

Find the inverse function $\mathrm { f } ^ { - 1 }$ of the function f.
- $$f ( x ) = - 7 \cos ( 4 x )$$

• A) \(f ^ { - 1 } ( x ) = \frac { 1 } { 4 } \cos ^ { - 1 } \left( \frac { x } { 7 } \right)\)
• B) \(f ^ { - 1 } ( x ) = - 7 \cos ^ { - 1 } ( 4 x )\)
• C) \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { 1 } { 7 } \cos ^ { - 1 } \left( \frac { \mathrm { x } } { 4 } \right)\)
• D) \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = - \frac { 1 } { 4 } \cos ^ { - 1 } \left( \frac { \mathrm { x } } { 7 } \right)\)

---

Definitions:

EPA Advisor

An expert or consultant who provides guidance on matters related to the Environmental Protection Agency and its regulations.

Best Technological System

The optimal or most advanced technology available for a specific purpose or in a particular field.

Emission Reduction

The process of lessening the volume of pollutants released into the atmosphere, typically from industrial processes or vehicular emissions.

Stationary Sources

Facilities or installations that emit pollutants to the atmosphere from a fixed location, including factories, power plants, and chemical plants.