For this case we have the following functions:
[tex]f (x) = x-2
g (x) = x ^ 2 - 7x - 9[/tex]
The first thing we must do is perform the composition of functions.
We have then:
[tex]f (g (x)) = (x ^ 2 - 7x - 9) -2
[/tex]
Rewriting we have:
[tex]f (g (x)) = x ^ 2 - 7x - 11
[/tex]
We now evaluate the function for x = -1.
We have then:
[tex]f (g (-1)) = (-1) ^ 2 - 7 (-1) - 11
[/tex]
Rewriting we have:
[tex]f (g (-1)) = 1 + 7 - 11
f (g (-1)) = -3[/tex]
Answer:
The function of f composed with g evaluated for x = -1 is given by:
[tex]f (g (-1)) = -3
[/tex]
option 2
