SOLUTION: What is g-1(x) if g(x)-3x3-6

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Question 388667: What is g-1(x) if g(x)-3x3-6
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Assuming that g%28x%29=-3x%5E3-6, first replace g(x) with y to get y=-3x%5E3-6. Now swap x and y to get x=-3y%5E3-6


Now solve for y to get


x=-3y%5E3-6


x%2B6=-3y%5E3


-%28x%2B6%29%2F3=y%5E3


y=root%283%2C-%28x%2B6%29%2F3%29


So the inverse is g%5E%28-1%29%28x%29=root%283%2C-%28x%2B6%29%2F3%29


If you need more help, email me at jim_thompson5910@hotmail.com

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Jim