Answer:
the correct answer is C. x^2 + 2x - 6.
Step-by-step explanation:
To find (f+g)(x) for the functions f(x) = 2x + 1 and g(x) = x^2 - 7, let's add the two functions together:
f(x) = 2x + 1
g(x) = x^2 - 7
(f+g)(x) = f(x) + g(x)
(f+g)(x) = (2x + 1) + (x^2 - 7)
(f+g)(x) = 2x + 1 + x^2 - 7
(f+g)(x) = x^2 + 2x - 6
Therefore, the correct answer is C. x^2 + 2x - 6.
