SOLUTION: Find the inverse of the function f(x)=3x^3+8/4x^3

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Question 881759: Find the inverse of the function f(x)=3x^3+8/4x^3
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find the inverse of the function f(x)=3x^3+8/4x^3
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y = (3x^3+8)/(4x^3)
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y = (3/4) + (2/x^3)
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To get the inverse:
1st: interchange x and y to get:
x = (3/4) + (2/y^3)
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2nd: Solve for "y":
2/y^3 = [x - (3/4)]
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y^3 = 2/[x-(3/4)]
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y = cbrt[2/(x-(3/4))
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Cheers,
Stan H.
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