What is \( (f \cdot g)(x) \) ? \[ \begin{array}{l}f(x)=-4 x+1 \\ g(x)=5 x+2 \\ \text { Write your answer as a polynomial or a rational function in simplest form. } \\ \text { When }\end{array} \]

To find \((f \cdot g)(x)\), we multiply the functions \(f(x)\) and \(g(x)\): \[ f(x) = -4x + 1 \] \[ g(x) = 5x + 2 \] \[ (f \cdot g)(x) = f(x) \times g(x) = (-4x + 1)(5x + 2) \] Now, expand the product: \[ (-4x + 1)(5x + 2) = (-4x) \cdot 5x + (-4x) \cdot 2 + 1 \cdot 5x + 1 \cdot 2 \] \[ = -20x^2 - 8x + 5x + 2 \] \[ = -20x^2 - 3x + 2 \] **Final Answer:** \[ (f \cdot g)(x) = -20x^2 - 3x + 2 \]