The tangent line is the derivative of h. h = f(g(x)). For x = -2, we just start plugging what we need in.

The chain rule is: f'(g(x))g'(x).

g(x) = g(-2) = 2.

f'(2) = -116

(so that's the first part)

g'(-2) = 1

(and that's the second part)

-116 * 1 = -116

(that's the answer)

Patrick