Finding Roots of a Cubic Function

Let the function be defined by the equation:

$$f(x) = x^3 - 6x^2 + 9x - 4$$

Determine the value of $$x$$ for which $$f(x) = 0$$. Analyze the behavior of this function to identify both the roots and any multiplicities. Your final answer should be the smallest positive root expressed as a decimal.