Question

What is the value of...?

Answer 1

Answer:

Step-by-step 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.