Given: f(x) = -3x - 4 and g(x) = 2x - 6, find (f*g)(-7), which is a representation of "the product of functions f and g."
(f*g)(x)= (-3x - 4)*(2x - 6)
= -6x^2 + 18x - 8x + 24, or -6x^2 + 10x + 24
Now evaluate this at x = -7:
(f*g)(-7) = -6(-7)^2 + 10(-7) + 24 = -340