SOLUTION: Find the inverse of f(x)= 4-3x^3

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find the inverse of f(x)= 4-3x^3      Log On


   

Question 253595: Find the inverse of f(x)= 4-3x^3
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Let y=4-3x%5E3


y=4-3x%5E3 Start with the given equation.


x=4-3y%5E3 Swap x and y


x-4=-3y%5E3 Subtract 4 from both sides.


%28x-4%29%2F%28-3%29=y%5E3 Divide both sides by -3.


-%28x-4%29%2F%283%29=y%5E3 Reduce


root%283%2C-%28x-4%29%2F%283%29%29=y Take the cube root of both sides to isolate y


y=root%283%2C-%28x-4%29%2F%283%29%29 Rearrange the terms.


So the inverse function is