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Let f:RtoR and g:RtoR be respectively gi...

Let `f:RtoR` and `g:RtoR` be respectively given by `f(x)=|x|+1` and `g(x)=x^(2)+1`. Define `h:RtoR` by
`h(x)={("max"{f(x),g(x)}, "if" xle0),("min" {f(x), g(x)}, "if"xgt0):}`
The number of points at which h(x) is not differentiable is :

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