1i) Let f(x)=ln(x+3) sketch the mirror line of y=x on the axes. Sketch f(x) on the axes.
ii) Indicate the domain and range of f(x).
iii) Is f(x) a one-to-one function? Explain this algebraically and graphically by using appropriate tests.
iv) Find the inverse function of f(x).Show all steps and sketch and label the inverse function on the previous graph of question 1i.
v) Indicate the domain and range of the inverse function.Compare the domain and range of f(x) and of the inverse f(x);what statement can be made about them.
vi)Let g be the inverse function in part iv. Show that g o f(x)=x and g o f(y)=y (show all your steps.)