CPM Homework Help : INT2 Problem 9-135

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9-135.

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

$s(x) = f(x) + g(x)$
Hint (a):
In this case, we are adding the two functions together. Add together the like terms and rewrite the new function.
Answer (a):
$s(x)=x^2+3x-2$

$m(x) = f(x) - g(x)$
Hint (b):
In this we are subtracting the given functions from one another. Look for like terms and simplify.

$v(x) = 2f(x)$
Answer (c):
$v(x)=2x^2+4x+2$

$d(x) = g(x) − f(x)$
Hint (d):
Refer to part (b). This time, we are subtracting functions in the reversed order.

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