Answer:
y = (x - 7)^(1/3)
Explanation:
Notice that f(x) is a monotonically increasing function (so it has an inverse along the domain
.
To find the inverse, we interchange the variables and solve for y.
So interchanging the variables gives us:
x = y^3 + 7.
We then solve for y, giving us:
x - 7 = y^3
y = (x - 7)^(1/3).