Find the Domain of the Function F and of Its $$f ( x ) = 3 \sin ( 5 x )$$

question 221

Multiple Choice

Find the domain of the function f and of its inverse function f-1.
- $$f ( x ) = 3 \sin ( 5 x )$$

• A) Domain of \(\mathrm { f } : ( \infty , \infty )\)
• Domain of \(\mathrm { f } ^ { - 1 } : [ 2,8 ]\)
• B) Domain of \(f : ( \infty , \infty )\)
• Domain of \(f ^ { - 1 } : [ - 5,5 ]\)
• C) Domain of \(f : ( \infty , \infty )\)
• Domain of \(\mathrm { f } ^ { - 1 } : [ - 3,3 ]\)
• D) Domain of \(\mathrm { f } : \left[ - \frac { 1 } { 5 } , \frac { 1 } { 5 } \right]\)
• Domain of \(\mathrm { f } ^ { - 1 } : ( \infty , \infty )\)

---

Definitions:

Maturity

The date on which the principal amount of a financial instrument becomes due and is repaid to the investor.

Face Value

The nominal or dollar value printed on a financial instrument, such as a bond or stock certificate, representing the amount to be returned to the holder at maturity.

German Stock Market

Refers to the stock market in Germany, primarily represented by the Frankfurt Stock Exchange, where shares of German companies are bought and sold.

Market Index

A statistical measure that shows changes in a securities market, representing a segment of the stock market or of the economy.