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

question 37

Multiple Choice

Find the domain of the function f and of its inverse function $\mathrm { f } ^ { - 1 }$ .
- $$f ( x ) = 6 \tan x + 10$$

• A) Domain of \(\mathrm { f } : ( \infty , \infty )\)
• Domain of \(\mathrm { f } ^ { - 1 } : [ 4,16 ]\)
• B) Domain of f: \(x \neq \frac { ( 2 k + 1 ) \pi } { 2 } ; k\) an integer
• Domain of \(\mathrm { f } ^ { - 1 } : ( \infty , \infty )\)
• C) Domain of \(\mathrm { f } : ( * , \infty )\)
• Domain of \(\mathrm { f } ^ { - 1 } : \mathrm { x } \neq \frac { ( 2 \mathrm { k } + 1 ) \pi } { 2 } ; \mathrm { k }\) an integer
• D) Domain of \(f : x \neq \frac { ( 2 k + 1 ) \pi } { 2 } ; k\) an integer
• Domain of \(f ^ { - 1 } : [ 4,16 ]\)