Answer: (r+g)(x) = 8x + 3.
Explanation:
To find the sum of two functions, (r+g)(x), where f(x) = 3x and g(x) = 5x + 3, we simply add the values of the functions at a given input x.
(r+g)(x) = f(x) + g(x)
Substituting the given functions:
(r+g)(x) = (3x) + (5x + 3)
To simplify, combine like terms:
(r+g)(x) = 3x + 5x + 3
Combine the x terms:
(r+g)(x) = 8x + 3
Therefore, (r+g)(x) = 8x + 3.