Question

Please answer and explain

Answer 1

Explanation:

(fog)(x) = f[g(x)]

(fog)(x) = f[(4/x - 5)]

(fog)(x) = 1 / ((4/x - 5) - 9)

(fog)(x) = 1 / (4/x - 14)

(gof)(x) = g[f(x)]

(gof)(x) = g[1/(x - 9)]

(gof)(x) = (4/ 1/(x - 9)) - 5

(gof)(x) = (4•(x - 9)/1) - 5

(gof)(x) = (4x - 36) - 5

(gof)(x) = 4x - 41