Respuesta :

f−1(x)=3√7+x

Is the answer

Answer:

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 [tex]\mathbb{R}\rightarrow \mathbb{R}[/tex].

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).