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:

Ion

A molecule or atom that has acquired an overall electric charge from either losing or gaining electrons.

Hydrogen Bond

Hydrogen atoms bound covalently to either N or O atoms have a small positive charge that is weakly attracted to the small negative charge of other atoms, such as O or N; it can occur within a molecule or between different molecules.

Intermolecular

Pertaining to forces or interactions that occur between molecules.

Intramolecular

Refers to reactions or processes occurring within a single molecule.