SOLUTION: How can i find the inverse of the function f(x) = x^3 -5 / x -3

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Question 430507: How can i find the inverse of the function
f(x) = x^3 -5 / x -3
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
How can i find the inverse of the function
f(x) = x^3 -5 / x -3
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1st: Interchange x and y to get:
x = (y^3-5)/(y-3)
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2nd: Solve for "y":
y^3-5 = xy-3x
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y^3-xy+3x-5 = 0
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Comment: Solving that for y is no easy task.
The y will always be a function of "x".
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Try graphing y = (x^3-5)/(x-3)
Reflect the graph in the line y = x
That is the graph of the inverse.
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Cheers,
Stan H.
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