Final answer:
To find ((f \circ g)(-2)), first calculate g(-2), which is 3, then put this into f(x) to get f(3), which yields the result of 27.
Step-by-step explanation:
We are asked to find ((f \circ g)(x)) when (x = -2). The composition (f \circ g)(x) means we plug g(x) into f(x). Firstly, calculate g(-2) = 2(-2) + 7 = -4 + 7 which gives us 3. Then, we calculate f(3) = 3³ which results in 27. Therefore, ((f \circ g)(-2)) equals 27.