Let f(x) = 3x2 + 2x – 1 and g(x) = x2 – 3x + 1
Find f(x) - g(x)

Step-by-step explanation:

We are asked to find f(x) - g(x) or the difference between the two functions. We know that the functions are:

We can substitute the expressions for the functions.

First, we must distribute the -1 in front of the second set of parentheses. Multiply each term inside the parentheses by -1.

Now we can combine like terms. The terms with x² can be combined, then the terms with x, and finally the constants (terms without variables).

Eliminate any unnecessary addition signs and parentheses.