Let f(x) =x^2+5 and g(x)=x+5/x. find (g fog ). a: 1/4 b: 14/19 c: 19/14 d: 49/9

For this case we have the following functions:   f (x) = x ^ 2 + 5  g (x) = x + 5 / x  doing the composition of functions we have:   (fog) (x) = ((x + 5) / x) ^ 2 + 5  evaluating for x = -3 we have:   (fog) (- 3) = + 5) / - 3) ^ 2 + 5  (fog) (- 3) = (2 / -3) ^ 2 + 5  (fog) (- 3) = (4/9) +5  (fog) (- 3) = (4 + 45) / (9)  (fog) (- 3) = (49) / (9)  answer:   d: 49/9