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The function  f(x) is invertible, but the function g(x)=f(cx) is not invertible. Find the sum of all possible values of c.

 Sep 29, 2019
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\(\text{Suppose $c\neq 0$}\\ y = f(c x)\\ x = \dfrac{f^{-1}(y)}{c}\\ \text{In other words for all values of $c\neq 0, g(x)$ is invertible}\\ \text{The sum of $0$ is $0$}\)

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 Sep 29, 2019

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