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

Question

Philoid · Accepted Answer

Formula:-

(i)A function f : X → Y is defined to be invertible, if there exists a function g : Y → X

such that gof =I_x and fog = I_y .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}