The function (f(x) = 4x²√6x), (x geq -2) has an inverse (f⁻¹(x)) defined on the domain (x geq 6). Find the inverse function.
a) (f⁻¹(x) = x²4√6), (x geq 6)
b) (f⁻¹(x) = 14√6x), (x geq 6)
c) (f⁻¹(x) = x²16√6), (x geq 6)
d) (f⁻¹(x) = 116√6x), (x geq 6)