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.

Algebra ->  Inverses -> 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.      Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!
You got to x=%28y-7%29%5E3 okay. Then you would have to solve for y.
Take the cube root of both sides:
x%5E%281%2F3%29=y-7
And now add 7 to both sides:
x%5E%281%2F3%29%2B7=y
Flip it for sanity's sake:
y=x%5E%281%2F3%29%2B7
Now change y to f(x) and voila!!
Answer:
f%28x%29=x%5E%281%2F3%29%2B7