What is the solution of the​ equation? Eliminate any extraneous solutions

Question

Let​ f(x)= x^2+6 and​ g(x) = x+8/x. Find ​(g◦​f)(-7)

Answer 1

f(x) = x^2 +6

g(x) = x+8/x

Find g(f(-7))

f(-7) = (-7)^2 +6 = 49+6 = 55

g(55) = 55 + 8/55 = 3033/55 = 55.145