Find for the function.

A.

B.

C.

D.

The f⁻¹ means that you have to find the inverse of the given original function. The solution is shown below. First, interchange the x and y variables, then solve for y.

f (x) = ∛ (x - 2) + 8

y = ∛ (x - 2) + 8

x = ∛ (y - 2) + 8

x - 8 = ∛ (y - 2)

[x - 8 = ∛ (y - 2) ]³

(x - 8) ³ = y - 2

y = (x - 8) ³ + 2

f⁻¹ (x) = (x - 8) ³ + 2

The answer is A.