Find the Domain of the Function F and of Its $\mathrm { f } ^ { - 1 }$

Multiple Choice

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

A) Domain of $f$ : $[ 2,8 ]$
Domain of $\mathrm { f } ^ { - 1 } : [ - 8 , - 2 ]$

B) Domain of f: $( \infty , \infty )$
Domain of $\mathrm { f } ^ { - 1 } : [ - 8 , - 2 ]$

C) Domain of $f : ( \infty , \infty )$
Domain of $\mathrm { f } ^ { - 1 } : [ 2,8 ]$

D) Domain of $f : ( \infty , \infty )$
Domain of $\mathrm { f } ^ { - 1 } : ( \infty , \infty )$