Symbolic representation

Question

find the symbolic representation for f^1(x) in f(x)=6x^3+4

Answer 1

if f(x) = 6x^3 +4

then the inverse f^-1(x) is found by switching x and y

y = 6x^3 +4

x = 6y^3 +4

6y^3 = x-4

y^3 = x/6 -2/3

y = f^-1(x) = (x/6 -2/3)^(1/3)