Final answer:
To find the difference of the functions s(x) = 2x + 1 and r(x) = -x^2 + 3x, we subtract r from s, resulting in s(x) - r(x) = x^2 - x + 1.
Step-by-step explanation:
The student has asked to find the difference of functions s and r. The functions given are:
- r(x) = -x2 + 3x
- s(x) = 2x + 1
To find the difference (s - r), we subtract the function r from s:
s(x) - r(x) = (2x + 1) - (-x2 + 3x)
This simplifies to:
s(x) - r(x) = 2x + 1 + x2 - 3x
Combining like terms results in:
s(x) - r(x) = x2 - x + 1
So, the difference of the functions s and r is x2 - x + 1.