Type the product of the given functions (fg)(x): f(x) = x^2 − 9 and g(x) = x + 1.

Question

In the space provided, type the answer in descending order as it applies without any spaces between the letters, numbers, or symbols.

Answer 1

If we scale the addition identity, we get (fg)(x) = f(x) * g(x). Using the supplied functions,

(fg)(x) = f(x) * g(x)

(fg)(x) = (x^2 - 9)(x + 1)

(fg)(x) = x^3 + x^2 - 9x - 9

Let me know if that helps!

-Ethan

Answer 2

(x² - 9)(x + 1) = x²(x) + x²(-9) - 9(x) -9(1) = x³ - 9x² - 9x - 9