Let f:R-> R and g:R-> R be respectively...

Let `f:R-> R and g:R-> R` be respectively given by `f(x) = |x| +1 and g(x) = x^2 + 1`. Define `h:R-> R` by `h(x)={max{f(x), g(x)}, if xleq 0 and min{f(x), g(x)}, if x > 0`.The number of points at which `h(x)` is not differentiable is

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