SOLUTION: I am studying for a test and was womdering if there was someone that could help me with this problem? Find f^-1 (x) for f(x)= -x^3+2. Give the domain of f^-1

Algebra ->  Algebra  -> Systems-of-equations -> SOLUTION: I am studying for a test and was womdering if there was someone that could help me with this problem? Find f^-1 (x) for f(x)= -x^3+2. Give the domain of f^-1      Log On

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Question 118370: I am studying for a test and was womdering if there was someone that could help me with this problem?
Find f^-1 (x) for f(x)= -x^3+2. Give the domain of f^-1
Answer by stanbon(57377) About Me  (Show Source):
You can put this solution on YOUR website!
Find f^-1 (x) for f(x)= -x^3+2. Give the domain of f^-1
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Interchange x and y and solve for y:
x = -y^3+2
y^3 = 2-x
y = (2-x)^(1/3)
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Domain of f^-1(x): All Real numbers.
Cheers,
Stan H.