Final answer:
The function g(x) = 3x^2 + 1 evaluates to 4 when x = -1, to 1 when x = 0, and to 49 when x = 4.
Step-by-step explanation:
To evaluate the function g(x) = 3x^2 + 1 for x = -1, x = 0, and x = 4, we need to substitute each value of x into the function and simplify.
- For x = -1:
g(-1) = 3(-1)^2 + 1 = 3(1) + 1 = 3 + 1 = 4 - For x = 0:
g(0) = 3(0)^2 + 1 = 3(0) + 1 = 0 + 1 = 1 - For x = 4:
g(4) = 3(4)^2 + 1 = 3(16) + 1 = 48 + 1 = 49
Therefore, the values of the function g(x) evaluated at x = -1, x = 0, and x = 4 are 4, 1, and 49, respectively.