SOLUTION: the function f is one to one. Find its inverse f(X)=(x+6)^3

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Question 433115: the function f is one to one. Find its inverse
f(X)=(x+6)^3

Found 2 solutions by stanbon, katealdridge:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
the function f is one to one. Find its inverse
f(X)=(x+6)^3
----
Interchange x and y to get:
x = (y+6)^3
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Solve for "y":
(y+6) = x^(1/3)
---
y = x^(1/6)-6
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That is the inverse function.
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Cheers,
Stan H.

Answer by katealdridge(100) About Me  (Show Source):
You can put this solution on YOUR website!
To find an inverse, first change the f(x) to y. Then change the x to y and the y to x.
y=%28x%2B6%29%5E3
x=%28y%2B6%29%5E3 Then solve for y. First take the third root of both sides.
cubert%28x%29=y%2B6 Then subtract 6 from both sides.
cubert%28x%29-6=y Then change the y into f%5E-1%28x%29.
f%5E-1%28x%29=cubert%28x%29-6