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Let f(x)=x^2-2a x+a-2 and g(x)=[2+sin^(...

Let `f(x)=x^2-2a x+a-2 and g(x)=[2+sin^(- 1)((2x)/(1+x^2))]`. If then set of real value 'a' for which `f[g(x)] lt 0 AA x in R` is `(k_1,k_2)`, then the equation `h(x)=[5k_1-3k_2]` has 6 distinct soluuon where `f(x)=|x-2| and h(x)=f(f(...........(f(x)))........)`, then find the value of 'n' ,(where [.] denotes the greatest integer function

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