If f(x) = 8 – 10x and g(x) = 5x + 4, what is the value of (fg)(–2)?

(fg)(x) = -168

Step-by-step explanation:

Since (fg)(x) = f(g)×g(x)

So (fg)(-2) = f(-2)×g(-2)

Since f(x) = 8 - 10x

f(-2) = 8 - 10(-2)

      = 8 + 20

      = 28

and g(x) = 5x + 4

g(-2) = 5(-2) + 4

       = -10 + 4

       = -6

Now f(-2)×g(-2) = 28(-6) = -168

Therefore, (fg)(x) = -168 will be the answer.