To find (f + g)(x), we need to add the functions f(x) and g(x) together.
Let's start by writing out the functions:
f(x) = x² - 2
g(x) = 3x - 2
To find (f + g)(x), we add the corresponding terms of the functions:
(f + g)(x) = f(x) + g(x)
= (x² - 2) + (3x - 2)
Now, let's simplify the expression by combining like terms:
(f + g)(x) = x² + 3x - 4
So, (f + g)(x) = x² + 3x - 4. That's the final result!