SOLUTION: The function f is one-to-one. Find its inverse. f(x) = (x - 8)^3

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: The function f is one-to-one. Find its inverse. f(x) = (x - 8)^3      Log On


   



Question 617613: The function f is one-to-one. Find its inverse.
f(x) = (x - 8)^3

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find its inverse.
f(x) = (x - 8)^3
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1st: Interchange x and y.
x = (y-8)^3
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2nd: Solve for "y":
y-8 = x^(1/3)
y = x^(1/3)+8
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That is the inverse.
Cheers,
Stan H.