278,624 views
25 votes
25 votes
What is the inverse of f(x) = (x+4)^3

What is the inverse of f(x) = (x+4)^3-example-1
User Eric Conner
by
2.9k points

2 Answers

21 votes
21 votes


Answer:\ f^(-1)(x)=\sqrt[3]{x} -4

Explanation:


f(x)=(x+4)^3

Extract the cube root from both parts of the equations:


\sqrt[3]{f(x)} =x+4\\\sqrt[3]{f(x)}-4=x+4-4\\ \sqrt[3]{f(x)} -4=x

Redefine the variables:


f^(-1)(x)=\sqrt[3]{x} -4

User Confiq
by
3.1k points
12 votes
12 votes

Answer:

C

Explanation:

What is the inverse of f(x) = (x+4)^3-example-1
User Splaytreez
by
3.2k points