I need the answers to the ones with the xs please Find fg f

I need the answers to the ones with the x\'s please :)

Find f+g, f-g, fg, and fig and their domains. rx) = 5-x, g(x) = x2-4x Find fg)x) Find the domain of (f g)(x). (Enter your answer using interval notation.) Oo,0o) Find (f g)x) Find the domain of (f- g)(x). (Enter your answer using interval notation.) (-00,00) Find (fg)x). Find the domain of (fg)(x) (Enter your answer using interval notation.) Find ( )(x). 4x Find the domain of [^(x). (Enter your answer using interval notation.) (-00,0) u (0,4)U (4,00

Solution

f(x) = 5 - x

g(x) = x² - 4x

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

(fg)(x) = f(x)g(x) = (5 - x)(x² - 4x) = -x³ + 9x² - 20x