Let f be a function from C (set of all complex numbers) to itself given by f(x) = x3. Write f–1(–1).
Formula:-
(i)A function f: X → Y is defined to be invertible, if there exists a function g : Y → X
such that gof =Ix and fog = Iy .The function g is called the inverse of f and is denoted by f-1
f(x)=y
f-1(y)=x
f(x)=-1
f-1(-1)=x
x3=-1
x3+1=0
(x+1)(x2-x+1)=0
x=-1,-w,-w2
1