Question

F(x) = 9x² + 5x+4

g(x) = -8x²-3x - 4
Find (f + g)(x).

O x² + 2x + 8
O x² + 2x
O x³ + 2x²
O x² + 2x²

Answer 1

The sum of the functions f(x) and g(x), denoted as (f + g)(x), is obtained by adding corresponding terms. The resulting function is (f + g)(x) = x² + 2x.

Step-by-step explanation:

To find (f + g)(x), we need to add the functions f(x) and g(x) together. This involves combining like terms, which are terms that have the same variable raised to the same power.

So we have:

f(x) = 9x² + 5x + 4

g(x) = -8x² - 3x - 4

Adding these gives us:

(f + g)(x) = (9x² + 5x + 4) + (-8x² - 3x - 4)

Combine like terms:

(f + g)(x) = (9x² - 8x²) + (5x - 3x) + (4 - 4)

Which simplifies to:

(f + g)(x) = x² + 2x