If f(x) = x squared - 5x and g(x) = x - 1, evaluate each of the following. (please show me step by step.)

Question

(f °g)(-5) =

(g°f)(-5) =

Answer 1

f(x) = x² - 5x

g(x) = x - 1

(f _° g)(-5) = f(g(-5)) = f(-5 - 1) = f(-6) = (-6)² - 5(-6) = 36 + 30 = 66

(g _° f)(-5) = g(f(-5)) = g[(-5)² - 5(-5)] = g(25 + 25) = g(50) = 50 -1 = 49