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

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 $\mathrm { f } ^ { - 1 } : [ - 2,2 ]$