Question

Express the function in the form
f compose g.
(Use non-identity functions for f and g.)
u(t) = cot t/(9+cot t)

{f(t), g(t)}=?

Answer 1

since cot t appears several places, let g(t) = cot(t)
Now we have

u(t) = g/(9+g)

So, let f(t) = t/(9+t) and you have what you want.

f◦g = f(g) = g/(9+g) = cot t/(9+cot t)