If `f: C->C` is defined by `f(x)=(x-2)^3` , write `f^(-1)(-1)` .

Explanation

`f(x)=(x-2)^{3} ldots ldots ldots ldots ldots . .[` Given `]`


Let `{f}^{-1}(-1)={x} quad` - 1 )


`Rightarrow {f}({x})=-1`


`{f}({x})=({x}-2)^{3}`


Let `{-1}(-1)={x}`


`Rightarrow {f}({x})=-1`


`Rightarrow({x}-2)^{3}=-1`


`Rightarrow {x}-2=-1` or `-{w}` or `{w}^{2} quad` [As the roots of `(-1)^{frac{1}{3}}` are `-1,-{w}` and `-{w}^{2}`, where


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