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Let f(x) = 15 – |x – 10|; x ∈ R. Then the set of all values of x, at which the function, g(x) = f(f(x)) is not differentiable, is :

1. {10, 15}
2. {5, 10, 15}
3. {10}
4. {5, 10, 15, 20}

Correct answer: {5, 10, 15}

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