SOLUTION: What is the inverse of f(x)=(x-7)^3 I know you change out f(x) to y: y=(x-7)^3 Then swap x and y: x=(y-7)^3...But now I am stuck as to what numbers will come back over with y.

Question 477888: What is the inverse of f(x)=(x-7)^3
I know you change out f(x) to y: y=(x-7)^3
Then swap x and y: x=(y-7)^3...But now I am stuck as to what numbers will come back over with y..Can you help?
Answer by mangopeeler07(462) (Show Source): You can put this solution on YOUR website!
You got to okay. Then you would have to solve for y.
Take the cube root of both sides:

And now add 7 to both sides:

Flip it for sanity's sake:

Now change y to f(x) and voila!!
Answer:

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