Answer: To find the value of (f - g)(2), we need to first evaluate f(2) and g(2), and then subtract g(2) from f(2).
Starting with f(x), we substitute x = 2:
f(2) = 3(2^2) + 1 = 3(4) + 1 = 12 + 1 = 13
Next, we evaluate g(x) at x = 2:
g(2) = 1 - 2 = -1
Now we can calculate (f - g)(2) by subtracting g(2) from f(2):
(f - g)(2) = f(2) - g(2) = 13 - (-1) = 14
Therefore, the value of (f - g)(2) is 14.
Explanation: