Final answer:
The range of the function g(x) = 3x - 1, with a domain of [-1, 6], is [-4, 17].
Step-by-step explanation:
The question asks to determine the range of the function g(x) = 3x - 1 when the domain is given as [-1, 6]. To find the range, we calculate the values of g(x) at the endpoints of the domain. At x = -1, g(x) = 3(-1) - 1 = -4. At x = 6, g(x) = 3(6) - 1 = 17. The function is linear, so it will include all values between -4 and 17. Therefore, the range of g(x) is [-4, 17].