Question

Find the inverse of f(x)

Answer 1

B. f^-1(x) = x³ -10

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 ...

`\boxed{f^(-1)(x)=x^3-10}`