Answer
$2x^2 + 2x - 4$
$\text{The domain is the set of all real numbers.}$
Work Step by Step
In this particular problem, we are asked to evaluate $(f + g)(x)$, so we add the two functions together and then simplify, as needed.
$(2x^2 + x - 3) + (x - 1)$
Let's get rid of the parentheses, paying attention to changes in the signs of the terms:
$2x^2 + x - 3 + x - 1$
Group like terms:
$2x^2 + (x + x) + (-3 - 1)$
Combine like terms:
$2x^2 + 2x - 4$
Since ay value of $x$ will make the expression above defined, then the domain is the set of all real numbers.
