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

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Question 1041432: Find the inverse of f(x)=(x+4)^3
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!






Replace f(x) with y.




Swap x and y. Now solve for y.




Apply the cube root to both sides to undo the cubing.




Notice how the cubing and cube root cancel on the right hand side.









Subtract 4 from both sides.









Now that y is fully isolated, replace it with the inverse function notation


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The inverse function is


where is the cube root of x.