SOLUTION: If f^-1(x)=3(square root symbol) 2-x, what is f(x)?

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Question 317040: If f^-1(x)=3(square root symbol) 2-x, what is f(x)?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
If f^-1(x)=3(square root symbol) 2-x, what is f(x)?
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If y = 3sqrt(2-x)
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Interchange x and y to get:
x = 3sqrt(2-y)
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Solve: sqrt(2-y) = x/3
2-y^2 = (x/3)^2
y^2 = 2-(x/3)^2
y = sqrt[2-(x/3)^2]
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f(x) = sqrt[2-(x/3)^2]
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Cheers,
Stan H.
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