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 $\mathrm { f } ^ { - 1 }$ .
- $$f ( x ) = - 8 \cos ( 10 x + 4 )$$

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

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

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

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

Domain of $f ^ { - 1 } : [ - 10,10 ]$