194k views
3 votes
Find the inverse of the given function. f(x)= (x+3)^3 -1

2 Answers

3 votes

Answer:


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

Explanation:

Step 1: Replace f(x) with y.


y = (x + 3)^3 - 1

Step 2: Swap the variables x and y.


x = (y + 3)^3 - 1

Step 3: Solve the equation for y.


x + 1 = (y + 3)^3


\sqrt[3]{x+1}=y+3


\sqrt[3]{x+1-3}=y

Step 4: Replace y with
f^(-1)(x) to express the inverse function.


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

User Rodney
by
8.6k points
5 votes

Answer:


y=\sqrt[3]{x+1} -3

Explanation:

y=(x+3)³-1

to find the inverse, swap the places of the x and y and solve for y

x=(y+3)³-1

y=∛(x+1)-3

User Maximiliano Guzman
by
8.6k 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