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Let f and g be two functions defined by f(x) =        0 x |, 1 x | 0 x , 1 x and g(x) =       0 x . 1 0 x , 1 x . Then (gof)(x) is

1. Continuous everywhere but not differentiable exactly at one point
2. Continuous everywhere but not differentiable at x = 1
3. Differentiable everywhere
4. Not continuous at x = –1

Correct answer: Continuous everywhere but not differentiable exactly at one point

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