Let `f` be a function from `C` (set of all complex numbers) to itself given by `f(x)=x^3` . Write `f^(-1)(1)` .

Explanation

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


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


`Rightarrow {x}^{3}=-1 ldots ldots ldots ldots ldots[.` Since, `{f}({x})={x}^{3}` ]


`Rightarrow {x}^{3}+1=0`


`Rightarrow({x}+1)({x}^{2}-{x}+1)=0 quad[{a}^{3}+{b}^{3}=({a}+{b})({a}^{2}-{ab}+{b}^{2})]`


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


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


`Rightarrow {x}^{3}=-1 ldots ldots ldots ldots ldots ldots[.` Since, `.{f}({x})={x}^{3}]`


...