SOLUTION: please help me find the inverse for g(x) = (x - 2)^3 +2

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Question 669110: please help me find the inverse for g(x) = (x - 2)^3 +2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Basic idea: Replace g(x) with y. Swap x and y. Solve for y to find g inverse

g%28x%29+=+%28x+-+2%29%5E3+%2B2

y+=+%28x+-+2%29%5E3+%2B2

x+=+%28y+-+2%29%5E3+%2B2

x-2+=+%28y+-+2%29%5E3

%28y+-+2%29%5E3+=+x-2

y+-+2+=+root%283%2Cx-2%29

y+=+root%283%2Cx-2%29%2B2

So the inverse of g(x) is