Answer
$g(x) - f(x) = x^2 - 3x + 3$
Work Step by Step
This exercise asks us to subtract $f(x)$ from $g(x)$. Let's write out the problem:
$g(x) - f(x) = (x^2 + 1) - (3x - 2)$
Distribute terms first to get rid of the parentheses, paying attention to the signs:
$g(x) - f(x) = x^2 + 1 - 3x + 2$
Combine like terms:
$g(x) - f(x) = x^2 - 3x + 3$
