Question

Given the functions f(x) = 2x2 – X + 3 and g(x) = 4x + 5, find the functions (f + g)(x)

and (f - g)(x). Simplify your answers by combining like terms.

Answer 1

To find (f + g)(x) and (f - g)(x), add and subtract the given functions, respectively.

Step-by-step explanation:

To find the functions (f + g)(x) and (f - g)(x), we need to first add and subtract the given functions, respectively.

(f + g)(x) = f(x) + g(x) = (2x^2 - x + 3) + (4x + 5)

(f + g)(x) = 2x^2 + 3x + 8

(f - g)(x) = f(x) - g(x) = (2x^2 - x + 3) - (4x + 5)

(f - g)(x) = 2x^2 - 5x - 2