Let the function f:[1, ) R be defined by f(t)= array cc (-1)^ n+1 2, & if t=2 n-1, n N , (2 n+1-t) 2 f(2 n-1)+ (t-(2 n-1)) 2 f(2 n+1), & if 2 n-1

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Let the function f:[1, ) R be defined by f(t)= array cc (-1)^ n+1 2, & if t=2 n-1, n N , (2 n+1-t) 2 f(2 n-1)+ (t-(2 n-1)) 2 f(2 n+1), & if 2 n-1 < t < 2 n+1, n N . array . Define g(x)= ₁^x f(t) d t, x (1, ) . Let denote the number of solutions of the equation g(x)=0 in the interval (1,8] and = _ x 1^+ g(x) x-1 . Then the value of + is equal to ________.

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f ( t )= array ccc 2 & ; & t =1 4-2 t & ; & 1

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