Two functions f and g are defined as follows, f(x) = In(x-2) and g(x)=3x+5.
(a) Find $(f\circ g^{-1})(x)$.
(b) Determine the domain and range of $(f\circ g^{-1})(x)$.
ANSWER:
(a) $(f\circ g^{-1})(x) = ln(\frac{x+a}{b})$ where
a =
b =
(b) $D_{fog^{-1}} = (c, \infty)$ ; $R_{fog^{-1}} = \mathbb{R}$ where
c =
