Let g(x)=log41x. Answer the following, justifying each statement:
a. (i) Determine the domain and the range of g.
b. (ii) Find the x-intercept of the graph of g.
c. (iii) Write the equation of every asymptote of the graph of g.
d. (iv) State, with reason, whether g is an increasing function or a decreasing function on its domain.