Final answer:
To find (f + g)(x), add the functions f(x) = 2x^3 + 3x^2 - 7x + 2 and the assumed function g(x) = 2x - 5, resulting in (f + g)(x) = 2x^3 + 3x^2 - 5x - 3.
Step-by-step explanation:
To find (f + g)(x) for the given functions, you first need to correctly write down the functions f(x) and g(x). It seems like there was a minor typo in the question for g(x). Assuming the correct function g(x) is g(x) = 2x - 5 based on g(2), we can add the functions together.
The function f(x) is given by f(x) = 2x^3 + 3x^2 - 7x + 2.
The function g(x) is assumed to be g(x) = 2x - 5.
To find (f + g)(x), you simply add f(x) and g(x) together:
(f + g)(x) = f(x) + g(x) = (2x^3 + 3x^2 - 7x + 2) + (2x - 5)
Combine like terms:
(f + g)(x) = 2x^3 + 3x^2 - 5x - 3
This is the sum of the functions f(x) and g(x).