Find the Domain of the Function F and of Its $$f ( x ) = \tan ( x - 4 ) + 7$$

Multiple Choice

Find the domain of the function f and of its inverse function f-1.
- $$f ( x ) = \tan ( x - 4 ) + 7$$

A) Domain of $f : ( \infty , \infty )$
Domain of $f ^ { - 1 } : [ - 8 , - 6 ]$

B) Domain of $f : x \neq \frac { ( 2 k + 1 ) \pi } { 2 } + 7 ; k$ an integer
Domain of $\mathrm { f } ^ { - 1 } : ( + , \infty )$

C) Domain of $\mathrm { f } : \mathrm { x } \neq \frac { ( 2 \mathrm { k } + 1 ) \pi } { 2 } ; \mathrm { k }$ an integer
Domain of $\mathrm { f } ^ { - 1 } : ( \infty , \infty )$

D) Domain of $\mathrm { f } : [ - 4,4 ]$
Domain of $\mathrm { f } ^ { - 1 } : ( \infty , \infty )$