Consider . Find the number of solution(s) of the equation 3f(f(x)) - 1 = 0 in [-2, 4]…
MATHEMATICS · Subjective · AoPS · Mathematics · Special Functions · Special Functions
Problem
Consider f(x)={[x]+∣x−1∣+1}. Find the number of solution(s) of the equation
3f(f(x))−1=0 in [−2,4]
[Note: [y] and {y} denotes greatest integer function less than or equal to y and fraction part function of y, respectively.]