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Let f , g : R → R be functions defined by 0 x 0 x , , | x 1 | ] x [ ) x ( f ≥ < ⎩ ⎨ ⎧ − and 0 x 0 x , , ) 1 x ( x e ) x ( g 2 x ≥ < ⎪ ⎩ ⎪ ⎨ ⎧ − − Where [x] denote the greatest integer less than or equal to x. Then, the function fog is discontinuous at exactly :

1. one point
2. two points
3. three points
4. four points

Correct answer: two points

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