Find the difference of functions s and r shown

below.

r (x) = - X2 + 3x

s (x) = 2x + 1

(s - r) (x) =

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