This question concerns the function,f (x) = ln (x + 3).
a) State the domain of the function f, justifying your answer briefly.
b) State whether the function f is: increasing, decreasing, neither increasing nor decreasing, one-one or many-one.
c) Write down the image set of f.
d) Explain briefly why the function f has an inverse function f-1, and give the domain of f-1.
e) Find the rule of f-1, by first writing y = ln (x + 3) and solving this equation to find x in terms of y. (you should then write your answer in the form f-1 (x) = ..)
f) Write down the image set of f-1.
Please see attachment for proper citation of "f-1"© BrainMass Inc. brainmass.com December 24, 2021, 5:13 pm ad1c9bdddf
A function is investigated for its domain, regions of increase or decrease, image set and inverse.