Answer:
Lets calculate the value for each expression to get the answers
f(x) = x² + 6x + 9
g(x) = x² - 9
(f+g)(x) = x² + 6x + 9 + x² - 9
(f+g)(x) = 2x² + 6x
(f+g)(x) = 2x(x + 3)
(f-g)(x) = x² + 6x + 9 - (x² - 9)
(f-g)(x) = x² + 6x + 9 - x² + 9
(f-g)(x) = 6x + 18
(f-g)(x) = 6(x + 3)
(f×g)(x) = (x² + 6x + 9)(x² - 9)
(f×g)(x) = x⁴ - 9x² + 6x³ - 54x + 9x² - 81
(f×g)(x) = x⁴ + 6x³ - 54x - 81
(f÷g)(x) = (x² + 6x + 9) / (x² - 9)
(f÷g)(x) = (x+3)(x+3) / (x+3)(x-3)
(f÷g)(x) = (x+3)/(x-3)
