f(x)=x+2 g(x)=x-4 (fg)(x)= 2x-2 x^2-8 x^2-2x-8 x^2+2x-8

To find $(fg)(x)$, we need to multiply the functions $f(x)$ and $g(x)$ together.<br /><br />Given:<br />$f(x) = x + 2$<br />$g(x) = x - 4$<br /><br />$(fg)(x) = f(x) \cdot g(x)$<br /><br />Substituting the given functions:<br />$(fg)(x) = (x + 2) \cdot (x - 4)$<br /><br />Expanding the expression:<br />$(fg)(x) = x^2 - 4x + 2x - 8$<br /><br />Simplifying:<br />$(fg)(x) = x^2 - 2x - 8$<br /><br />Therefore, the correct answer is:<br />$x^2 - 2x - 8$