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Let $f(x) = 15 - |x - 10|$; $x \in \mathbb{R}$. Then the set of all values of $x$, at which the function, $g(x) = f(f(x))$ is not differentiable, is:
(1) ${5, 10, 15}$
(2) ${10, 15}$
(3) ${5, 10, 15, 20}$
(4) ${10}$
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