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 $\mathrm { f } ^ { - 1 }$ .
- $$f ( x ) = \cos ( x - 3 ) + 4$$

A) Domain of $f : ( \infty , \infty )$
Domain of $f ^ { - 1 } : [ - 5 , - 3 ]$

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

C) Domain of $\mathrm { f } : ( \infty , \infty )$
Domain of $\mathrm { f } ^ { - 1 } : [ 3,5 ]$

D) Domain of $f : [ - 3,3 ]$

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