72.0k views
5 votes
Find the inverse of f(x)

Find the inverse of f(x)-example-1

1 Answer

2 votes

Answer:

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}

User Soupdiver
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories