To find (f + g)(x), we need to add the functions f(x) and g(x) together.
Given:
f(x) = 3x - 2
g(x) = 2x + 1
To find (f + g)(x), we add the corresponding terms of f(x) and g(x):
(f + g)(x) = f(x) + g(x)
= (3x - 2) + (2x + 1)
Now, we combine like terms:
(f + g)(x) = 3x - 2 + 2x + 1
= (3x + 2x) + (-2 + 1)
= 5x - 1
Therefore, (f + g)(x) = 5x - 1.