Is f(x) =x^3-2 an inverse function? Why or why not?

Answer 1

Well, can it be inverted?

y = x^3 - 2 is the alleged inverse.

x = y^3 - 2 <---- swaps x and y

(x+2) = y^3

(x+2)^(1/3) = y <--- this is the original function

yes, they produce the identity line when one is substituted into the other.