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Let

\(f(x) = \begin{cases} k(x) &\text{if }x>3, \\ x^2-6x+12&\text{if }x\leq3. \end{cases} \)

 

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

 Jan 15, 2019
 #1
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The function is k(x) = -x^2 + 6x + 2.

 Dec 1, 2019

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