Minimum Value of Quadratic Function

Consider the function defined by the equation $$f(x) = 3x^2 - 5x + 2$$. You are required to determine the value of $$x$$ for which the function takes its minimum value.

Recall that for a quadratic function of the form $$f(x) = ax^2 + bx + c$$, the minimum (or maximum) value occurs at the vertex, which can be found using the formula $$x = -\f\frac{b}{2a}$$.