SOLUTION: how do i find the inverse of f(x)=x^3+8

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Question 930521: how do i find the inverse of f(x)=x^3+8
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
find the inverse of f%28x%29=x%5E3%2B8:
first, recall that f%28x%29=y
y=x%5E3%2B8 ...now, swap x and y
x=y%5E3%2B8 ...solve for y
x-8=y%5E3
root%283%2C%28x-8%29%29=y
so, inverse is
f%5E-1%28x%29=root%283%2C%28x-8%29%29 or f%5E-1%28x%29=%28x-8%29%5E%281%2F3%29