Q. 14

If f : C C is defined by f(x) = (x – 2)3, write f–1(–1).

Answer :

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


(x – 2)3=-1


x-2=-1,x-2=w and x-2=-w2


x=1,-w+2,2-w2


f-1(25)={ 1,2-w,2-w2}


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