Answer:
B. f^-1(x) = x³ -10
Step-by-step explanation:
You want the inverse of the function f(x) = ∛(x +10).
Function inverse
To find the inverse of the function y = f(x), solve for y:
x = f(y)
Application
x = f(y)
x = ∛(y +10) . . . . . . . use y as the argument of f(x)
x³ = y +10 . . . . . . . . cube both sides
x³ -10 = y . . . . . . . . subtract 10
The inverse function is ...
[tex]\boxed{f^{-1}(x)=x^3-10}[/tex]
