Question

F(x) = 2x+5
G(x) = (x-1)/(x+4)
(fog)(a) = ?
(/ = per)

Answer 1

(fog) = f(g(x))
(fog) = f(x - 1) / (x+ 4)
(fog) = 2((x - 1)/ (x + 4)) + 5 
(fog) = (2x - 2/x + 4) + 5
(fog)(a) = (2a - 2/a + 4) + 5 
(fog)(a) = (a - 1/2) + 5
(fog) (a) = (a - 1/2) + 10/2
(fog) (a) = (a + 9/2)