Find the Domain of the Function F and of Its $$f ( x ) = 2 \sin ( 3 x - 1 )$$

question 24

Multiple Choice

Find the domain of the function f and of its inverse function f-1.
- $$f ( x ) = 2 \sin ( 3 x - 1 )$$

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

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Definitions:

Bond Indenture

A legal contract between a bond issuer and a bondholder that specifies the terms of the bond, such as the interest rate, maturity date, and payment schedule.

Discount Amortization

The process of systematically reducing the discount on bonds payable over the life of the bonds, thereby increasing the carrying amount of the bonds.

Semiannual Interest

Interest that is calculated and paid twice a year, often used in the context of bonds and loans.

Straight-Line Method

A depreciation method that allocates an equal amount of depreciation expense for an asset over its useful life.