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

question 284

Multiple Choice

Find the domain of the function f and of its inverse function $\mathrm { f } ^ { - 1 }$ .
- $$f ( x ) = 3 \sin ( 5 x )$$

• A) Domain of \(f : ( \infty , \infty )\)
• Domain of \(\mathrm { f } ^ { - 1 } : [ 2,8 ]\)
• B) Domain of \(\mathrm { f } : ( \infty , \infty )\)
• Domain of \(\mathrm { f } ^ { - 1 } : [ - 5,5 ]\)
• C) Domain of \(\mathrm { f } : ( \infty , \infty )\)
• Domain of \(\mathrm { f } ^ { - 1 } : [ - 3,3 ]\)
• D) Domain of \(\mathrm { f } : \left[ - \frac { 1 } { 5 } , \frac { 1 } { 5 } \right]\)
• Domain of \(\mathrm { f } ^ { - 1 } : ( - \infty , \infty )\)