JEE Advanced 2020 Mathematics question
Let the functions and be defined by
f(x) = |2x - 1| + |2x + 1| and g(x) = x - [x],
where denotes the greatest integer less than or equal to . Let be the composite function defined by . Suppose is the number of points in the interval at which is **NOT** continuous, and suppose is the number of points in the interval at which is **NOT** differentiable. Then the value of is
Answer: 4
Solution
is the fractional part of : on and on , with values in . For : if , and if . Hence for ; for ; for ;
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