Logarithms

Consider the function f(x)= log₃ (x+6)+2

a) calculate the x and y intercepts of the function.

b) plot the graph of the function, indicating the COORDINATES of at least two points on the curve as well as the WRITING the equations of any asymptote lines.

c) graph the inverse of f(x) on the same grid as (b)

d) obtain the equation of f^-1(x), the inverse of f(x).