Answers: (f+g)(x)=x²+4-4x
Domain = (-∞, ∞)
Explanation:
(f + g)(x) is equal to f(x) + g(x). Where f(x) is x²+4 and g(x) is -4x.
Then:
[tex]\begin{gathered} (f+g)(x)=f(x)+g(x) \\ (f+g)(x)=(x^2+4)+(-4x) \\ (f+g)(x)=x^2+4-4x \end{gathered}[/tex]
Now, the domain is the set of all the values where (f+g)(x) is defined.
Since (f+g)(x) is a polynomial, the domain is the set of all real numbers or:
( - ∞, ∞)
