Express the function G in the form f o g

Question

Express the function G in the form f ∘ g. (There is more than one correct answer. The function is of the form y = f(g(x)). Use non-identity functions for f(x) and g(x).)

g(x)=1/x+5

Answer 1

g(x) = 1/x+5

g(g(x)) =gog = 1/(1/x+5) + 5

= 1/(1+5x)/x + 5

= x/(1+5x) +5

= (x +5+25x)/(1+5x)

= (26x +5)/(5x+1)