Question

What is the value of x when $(f°g)(x)=-8$

Answer 1

According to the table,

f(x) = -8   ⇒   x = -4

and according to the definition of g(x),

g(x) = -4   ⇒   x = 3

Then

(f o g)(x) = f(g(x)) = -8   ⇒   g(x) = -4   ⇒   x = 3