### Home > INT2 > Chapter 9 > Lesson 9.4.1 > Problem9-135

9-135.

If $f(x) = x^2 + 2x + 1$ and $g(x) = x - 3$, write each of the following functions:

1. $s(x) = f(x) + g(x)$

In this case, we are adding the two functions together. Add together the like terms and rewrite the new function.

$s(x)=x^2+3x-2$

1. $m(x) = f(x) - g(x)$

In this we are subtracting the given functions from one another. Look for like terms and simplify.

1. $v(x) = 2f(x)$

$v(x)=2x^2+4x+2$

1. $d(x) = g(x) − f(x)$

Refer to part (b). This time, we are subtracting functions in the reversed order.