F(x)=k(2-x-x^3) has an inverse function, and f^-1(3)=-2, FIND K
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F(x)=k(2-x-x^3) has an inverse function, and f^-1(3)=-2, FIND K

[From: ] [author: ] [Date: 11-12-02] [Hit: ]
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f^-1 ( x) = y means that f(y) = x, so we know that f(-2) = 3.

Compute f(-2) = k(2 - - 2 - (-2)^3) = k(2 + 2 + 8) = 12k

So 12k = 3
k = 3/12 = 1/4

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f(-2) = 3 ---> k = ...
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