Question

PLEASE HELP I JUST NEED ANSWER NOT EVEN EXPLANATION

Answer 1

D) 12

Explanation:

If f(x) = g(h(x)), then the derivative of f(x) with respect to (x) can be expressed using the chain rule:

`f'(x) = g'(h(x)) \cdot h'(x)`

In other words, the derivative of a composition of function f(x) = g(h(x)) is equal to the derivative of the outer function g(u) evaluated at u = h(x) multiplied by the derivative of the inner function h(x).

To find f'(1), substitute the value of h(1) into g'(x) and then multiply by the value of h'(1):

`f'(1) = g'(h(1)) \cdot h'(1)`

`f'(1) = g'(-4) \cdot 12`

`f'(1) = 1 \cdot 12`

`f'(1) = 12`

Therefore, f'(1) = 12.