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

question 255

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

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