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 $\mathrm { f } ^ { - 1 }$ .
- $$f ( x ) = \tan ( x - 4 ) + 7$$

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

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

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

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

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