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# Need help really fast!!

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

Feb 4, 2019

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$$\text{if }k \neq 0 \text{ then}\\ g^{-1}(x) = \dfrac 1 k f^{-1}(x)\\ \text{so the only value of }k \text{ for which }g(x) \text{ is not invertible is }k=0\\ \text{the sum of }0 \text{ is }0$$

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Feb 5, 2019