Answer:
Option B
Explanation:
Plan
(i) In these type of questions, we draw the graph of the function
(ii) The points at which the curve has taken a sharp turn, are the points of non-differentiability
Curve of f(x) and g(x) are

h (x) is not differentiable at x±1 and 0
As h(x) take sharp turns at x±1 and 0
Hence, the number of points of non- differentiability of h(x) is 3.