What’s the inverse of f(x)=x^3 +7 ?

y = (x - 7)^(1/3)

Step-by-step 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).