Final answer:
To find (f+g)(x), we combine the functions f(x) = 3x + 10x and g(x) = 2x - 4. After combining like terms in f(x), which results in 13x, and adding it to g(x), we get (f+g)(x) = 15x - 4.
Step-by-step explanation:
To find the sum of the functions f(x) and g(x), denoted as (f+g)(x), we add the two functions together. Given that f(x) = 3x + 10x and g(x) = 2x - 4, we first combine like terms in f(x).
Combining like terms in f(x), we get:
f(x) = 3x + 10x = 13x
Now we add f(x) to g(x):
(f+g)(x) = f(x) + g(x)
= 13x + (2x - 4)
= 13x + 2x - 4
= 15x - 4
Therefore, the function (f+g)(x) is 15x - 4.