Question

Please answer this for me. It's missing, please answer asap.

Answer 1

40

Explanation:

This is an example of a composite function. And, in order to answer the given problem, we need to calculate first the inner function.

In this example, we have:

`f(x) = x^(2) - 3x + 6\\g(x) = 5x - 10`

And, we are tasked to calculate the
`g(f(-4))`. Let's calculate first the
`f(-4)`.

`f(x) = x^(2) + 3x + 6\\f(-4) = (-4)^(2) + 3(-4) + 6\\f(-4) = 16 - 12 + 6\\f(-4) = 4 + 6\\f(-4) = 10`

Let's substitute this value to the function of g to get the final answer.

`g(x) = 5x - 10\\g(f(-4)) = 5(10) - 10\\g(f(-4)) = 50 - 10\\g(f(-4)) = 40`

Thus, the final answer was 40.