Mathematics

Problem

Let

g(x)=3^{\,x-2}+5

. a. (i) Find the domain of

g

. b. (ii) Determine the range of

g

. c. (iii) Write the equation of the horizontal asymptote of the graph of

y=g(x)

and verify whether the point

(0, g(0))

lies above or below this asymptote.