SOLUTION: find the inverse of f(x)=1/2x^3-7

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Question 377442: find the inverse of f(x)=1/2x^3-7
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
I will assume that f%28x%29+=+x%5E3%2F2+-+7. This function is one-to-one, and so it will have an inverse function.
Then y+=+x%5E3%2F2+-+7. Interchange the places of x and y:
x+=+y%5E3%2F2+-+7. Then solve for y in terms of x.
2%28x%2B7%29+=+y%5E3.
2x%2B14+=+y%5E3,
y+=+root%283%2C+2x%2B14%29. This is the inverse function.