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Let

f(x) = k(x) if x > 2

f(x) = 5x - 8 if x <= 2

Find the function k(x) such that f is its own inverse.

 Dec 4, 2020
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If f is its own inverse, then

k(5x - 8) = 5k(x) - 8

k(5x) = 5(k(x) + 8) + 8

k(x) = 5x - 7

 Dec 5, 2020

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