f(x)=x-2 g(x)=x-4 Find (fcdot g)(-9) 35 -1 15 143

To find \((f \cdot g)(-9)\), we first need to determine the expression for \(f \cdot g\).<br /><br />The function \(f(x) = x - 2\) and \(g(x) = x - 4\). The product of these functions, \(f \cdot g\), is given by:<br /><br />\[<br />(f \cdot g)(x) = f(x) \cdot g(x) = (x - 2)(x - 4)<br />\]<br /><br />Now, expand the expression:<br /><br />\[<br />(x - 2)(x - 4) = x^2 - 4x - 2x + 8 = x^2 - 6x + 8<br />\]<br /><br />Next, substitute \(x = -9\) into the expression:<br /><br />\[<br />(f \cdot g)(-9) = (-9)^2 - 6(-9) + 8<br />\]<br /><br />Calculate each term:<br /><br />\[<br />(-9)^2 = 81<br />\]<br />\[<br />-6(-9) = 54<br />\]<br /><br />Add them together:<br /><br />\[<br />81 + 54 + 8 = 143<br />\]<br /><br />Thus, \((f \cdot g)(-9) = 143\).<br /><br />The correct answer is 143.