Answer:
Explanation:
I'm not sure I know exactly what that [1] means.
But here's how you get the answer
g(x) = 3x + 12
The symbolism means that wherever you see an x on the right side of g(x) you put f(x)
So it looks like this
g(f(x) ) = 3(f(x)) + 12 Now you put f(x) = 2x + 7 in for f(x) on the right.
g(f(x)) = 3(2x + 7) + 12 Remove the brackets
g(f(x)) = 6x + 21 + 12
g(f(x)) = 6x + 33
Now you deal with the x on the left. It becomes - 6
g(f(-6)) = 6(-6) + 33
g(f(-6)) = -36 + 33
g(f(-6)) = - 3
Rule 1
(g · f)(x)
has the meaning of whatever the function on the left is (in this case g) then the function of f is put in the xs place.