Consider the function f(x)=ln(x+4) with domain x>−4.
a. (i) Find f−1(x) and state its domain and range.
b. (ii) Define g(x)=f−1(3x). Determine the domain and range of g.
c. (iii) Construct h(x)=f(g(x)). Find the domain of h and explain each restriction imposed during your working.