Answer:
[0, infinity)
Step-by-step explanation:
Focus on f(x) = sqrt(x) first. The domain of this function is [0, infinity), and the range is [0, infinity).
The product (f*g)(x) is sqrt(x)*(3x + 2).
This leads to the conclusion that the range of (f.g) (x) is identical to the range of sqrt(x), which is [0, infinity).
