Use the given functions to answer the question.
f(x) = 4x² - 3x + 8
g(x) = -6x² - 1
Which expression represents f(x) + g(x) ?
A. -2x² - 3x + 7
B. -2x² + 3x + 9
C. 2x² - 3x + 7
D. 2x² - 3x + 9
To find the expression that represents f(x) + g(x), we need to add the corresponding terms in f(x) and g(x).
The term with x^2 in f(x) is 4x^2, and the term with x^2 in g(x) is -6x^2. So, the sum of these terms is 4x^2 + (-6x^2) = -2x^2.
The term with x in f(x) is -3x, and the term with x in g(x) is 0. So, the sum of these terms is -3x.
The constant term in f(x) is 8, and the constant term in g(x) is -1. So, the sum of these terms is 8 + (-1) = 7.
Putting it all together, f(x) + g(x) is represented by the expression -2x^2 - 3x + 7.
So, the correct answer is A. -2x² - 3x + 7.