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:

Inference Forms

Patterns of reasoning where the conclusion logically follows from the premises.

MP

An abbreviation often used for "Modus Ponens," a form of argument in logic where from "If P then Q" and "P" one concludes "Q."

Inference Forms

Patterns of reasoning where a conclusion is drawn from premises based on logical principles.

Inference Forms

Patterns or structures of reasoning through which conclusions are drawn from premises based on logical principles.