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The function defined by

has an inverse, and the inverse is defined for all real numbers. Find all possible values of k.

 Aug 8, 2019
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\(\text{We need to ensure that there is no discontinuity at $x=4$}\\ f(4) = 5\\ \lim \limits_{x\to 4^-} f(x) = 4+k\\ 5 = 4+k\\ k=1\)

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 Aug 9, 2019

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