Final answer:
To find (f+g)(a), you combine the like terms from the functions f(a)=4a-1 and g(a)=2a-5, which results in (f+g)(a) = 6a - 6.
Step-by-step explanation:
To find the sum of the functions f(a) and g(a), denoted as (f+g)(a), you need to add the two functions together. This means you combine the like terms from each function.
The function f(a) is given as f(a) = 4a - 1, and g(a) is defined as g(a) = 2a - 5.
Now, you simply add the corresponding terms of both functions:
(f+g)(a) = f(a) + g(a) = (4a - 1) + (2a - 5)
Combine the like terms:
(f+g)(a) = 4a + 2a - 1 - 5
And now simplify it:
(f+g)(a) = 6a - 6.