Evaluate Inverse Function
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Evaluate Inverse Function

[From: ] [author: ] [Date: 12-04-17] [Hit: ]
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Let f(x) = x^3 + 2x + 1.

Evaluate f[f inverse (5)]. Assume that the domain f inverse is (-infinity, +infinity).

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x = y^3 + 2y + 1
(x - 1 - y^3) / 2 = y
y + ((1/2)(y))^3 = (x -1) / 2
y = cube root of ((x-1) / 2) - (1/2)(y)

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you just subtitute the 5 with the x. sry didn't read it fully :(

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