Final answer:
The sum of the functions f(x) = -2x + 2 and g(x) = x^2 + 5 is (f+g)(x) = x^2 - 2x + 7.
Step-by-step explanation:
The student has asked for the sum of two functions, f(x) = -2x + 2 and g(x) = x2 + 5. The sum of these two functions, denoted as (f+g)(x), is found by adding the two functions together. By combining like terms, the resulting function is (f+g)(x) = (-2x + 2) + (x2 + 5).
To simplify, add the linear and constant terms: (f+g)(x) = -2x + x2 + 2 + 5 = x2 - 2x + 7.