Find the formula for $(f \cdot g)(x)$. \[ f(x)=2 x-1 \text { and } g(x)=x^{2} \] \[ (f \cdot g)(x)=[?] x+\square x^{2} \]

Step 1 ：The formula for \((f \cdot g)(x)\), also known as the product of functions f and g, is given by \(f(x) \cdot g(x)\). This means that we multiply \(f(x)\) by \(g(x)\). In this case, \(f(x) = 2x - 1\) and \(g(x) = x^2\), so we multiply these together to get \((f \cdot g)(x) = (2x - 1) \cdot x^2\).

Step 2 ：Expand the expression \((f \cdot g)(x) = (2x - 1) \cdot x^2\) to get \((f \cdot g)(x) = 2x^3 - x^2\).

Step 3 ：Final Answer: \((f \cdot g)(x) = \boxed{2x^3 - x^2}\)