Answer & Step-by-step explanation:
In this problem, we are given two functions.
s(x) = 2x + 1
r(x) = -x² + 3x
We are asked to find the difference between s(x) and r(x).
(2x + 1) - (-x² + 3x)
Distribute the negative to the second parentheses.
2x + 1 + x² - 3x
Combine like terms and put the equation in standard form. This means the exponents should be in descending order.
x² - x + 1
So, (s - r)(x) equals x² - x + 1