Respuesta :
Answer:
f^(-1) (x)=x^3-2
Step-by-step explanation:
f(x)= ∛(x+2)
To find the inverse,
Let
y= ∛(x+2)
Replacing x with y and y with x
x= (y+2)^(1/3)
Solving for y
x^3=[(y+2)^(1/3)]^3
x^3=y+2
y=x^3-2
Finally replacing y with f-1(x)
f^(-1) (x)=x^3-2