Final answer:
To find (f - g)(x), subtract g(x) from f(x). With f(x) = 3x - 1 and g(x) = x + 2, (f - g)(x) simplifies to 2x - 3 after combining like terms.
Step-by-step explanation:
To find the function (f - g)(x), you subtract the function g(x) from f(x). Given f(x) = 3x - 1 and g(x) = x + 2, we have:
(f - g)(x) = f(x) - g(x)
(f - g)(x) = (3x - 1) - (x + 2)
By distributing the negative sign to g(x), we have:
(f - g)(x) = 3x - 1 - x - 2
Combine like terms:
(f - g)(x) = 2x - 3