Question:

a) f(x) = | (3-x)/(x-2) |, x>2

Define the inverse funtion of f corresponding to the domain of f.

b) g(x) = ln (x+2), x > -2

h(x) = 2 + (e ^ -x) , x>b and b > 0

The composite function gh is well defined and the range of gh is given as (ln 4, ln 6]. Find the exact value of b.

Thank you for helping me!