f(x)=5-x, l g(x)=x^2 - 4x Find (f+g)(x). Find the domain of (f+g)(x). (Enter your answer using interval notation.)

Step 1 ：Let's find the sum of the two functions f(x) and g(x). This is represented as (f+g)(x).

Step 2 ：Given that f(x) = 5 - x and g(x) = x^2 - 4x, we add these two functions together.

Step 3 ：So, (f+g)(x) = (5 - x) + (x^2 - 4x)

Step 4 ：Simplify the expression to get the final function: (f+g)(x) = x^2 - 5x + 5

Step 5 ：\(\boxed{x^2 - 5x + 5}\) is the sum of the functions f(x) and g(x).

Step 6 ：Now, let's find the domain of (f+g)(x).

Step 7 ：The domain of a function is the set of all possible input values (x-values) which will produce a valid output.

Step 8 ：Since there are no restrictions on x in the function (f+g)(x) = x^2 - 5x + 5, the domain is all real numbers.

Step 9 ：So, the domain of (f+g)(x) is \(\boxed{(-\infty, \infty)}\).