whats the composite function of these two equations and its domain and range

f(x)=2^x and g(x)=3-x

f◦g = 2^g = 2^(3-x) = (2^x)/8

g◦f = 3-f = 3-2^x

the domain of all exponentials is all reals.

The range of all a^x is (0,∞)

see where that leads.