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If f(x)=2x^3-3x^2 + 1 then number of dis...

If `f(x)=2x^3-3x^2 + 1` then number of distinct real solution(s) of the equation `f(f(x)) = 0` is(are) k then `(7k)/(10^2)` is equal to

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The absolute valued function f is defined as f(x) = {{:(x,, x ge 0),(-x ,, x lt 0):}} and fractional part function g(x) as g(x) = x-[x], graphically the number of real solution(s) of the equation f(x) = g(x) is obtained by finding the point(s) of interaction of the graph of y = f(x) and y = g(x). The number of solution (s) |x-1| - |x+2| = k , when -3 lt k lt 3