SOLUTION: Given the one-to-one function f(x) = sqrt[3]{x} - 8; find the f^{-1}(x).

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Question 959113: Given the one-to-one function f(x) = sqrt[3]{x} - 8; find the f^{-1}(x).
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Given the one-to-one function f(x) = sqrt[3]{x} - 8;
I'm going to assume you mean the following::
f(x) = x^(1/3) - 8
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find the f^{-1}(x).
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1st: Interchange x and y::
x = y^(1/3) - 8
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2nd: Solve for "y":
y^(1/3) = x+8
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y = (x+8)^3
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Cheers,
Stan H.
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