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

question 122

Multiple Choice

Find the domain of the function f and of its inverse function $\mathrm { f } ^ { - 1 }$ .
- $$f ( x ) = 2 \sin ( 3 x - 1 )$$

• A) Domain of \(f : ( \infty , \infty )\)
• Domain of \(\mathrm { f } ^ { - 1 } : [ - 3,3 ]\)
• B) Domain of f: \(\left[ - \frac { 1 } { 2 } , \frac { 1 } { 2 } \right]\)
• Domain of \(\mathrm { f } ^ { - 1 } : ( \infty , \infty )\)
• C) Domain of \(f : [ - 2,2 ]\)
• Domain of \(\mathrm { f } ^ { - 1 } : ( \infty , \infty )\)
• D) Domain of \(\mathrm { f } : ( \infty , \infty )\)
• Domain of \(f ^ { - 1 } : [ - 2,2 ]\)

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