Question

Given functions f(x) = 2x + 2 and g(x) = x² - 4 - 2x, find the sum (f + g)(x).

Answer 1

The sum of the functions f(x) and g(x) is x² + 2x - 2.

Step-by-step explanation:

The sum (f + g)(x) can be found by adding the two functions f(x) and g(x) together:

(f + g)(x) = f(x) + g(x)

= (2x + 2) + (x² - 4 - 2x)

= x² + 2x - 2

So, the sum of the functions f(x) and g(x) is x² + 2x - 2.

It's important to note that the sum of functions is only defined when the functions have the same domain. In other words, you can add two functions if they are defined for the same set of input values.