Question

I need help in this one please

Answer 1

The answer is -3. I had a lovely explanation to go with this, but unfortunately the filter will not allow me to post it and I'm not sure why. Sorry for the inconvenience.

Answer 2

For this case we have the following functions:

`f (x) = x-2 g (x) = x ^ 2 - 7x - 9`
The first thing we must do is perform the composition of functions.
We have then:

`f (g (x)) = (x ^ 2 - 7x - 9) -2`
Rewriting we have:

`f (g (x)) = x ^ 2 - 7x - 11`
We now evaluate the function for x = -1.
We have then:

`f (g (-1)) = (-1) ^ 2 - 7 (-1) - 11`
Rewriting we have:

`f (g (-1)) = 1 + 7 - 11 f (g (-1)) = -3`
Answer:
The function of f composed with g evaluated for x = -1 is given by:

`f (g (-1)) = -3`
option 2