Final answer:
To find (f+g)(x), add the functions f(x) and g(x) together. The result is 7x + 2.
Step-by-step explanation:
To find (f+g)(x), we need to add the functions f(x) and g(x) together. Given that f(x) = 4x + 5 and g(x) = 3x - 3, we can add the corresponding terms:
(f+g)(x) = f(x) + g(x) = (4x + 5) + (3x - 3)
Then, we simplify the expression by combining like terms:
(f+g)(x) = 4x + 5 + 3x - 3
Combining like terms gives:
(f+g)(x) = 7x + 2