Functions : Domain, Increasing/Decreasing, Image Set and Inverse
Not what you're looking for?
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"
Purchase this Solution
Solution Summary
A function is investigated for its domain, regions of increase or decrease, image set and inverse.
Purchase this Solution
Free BrainMass Quizzes
Solving quadratic inequalities
This quiz test you on how well you are familiar with solving quadratic inequalities.
Exponential Expressions
In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.
Multiplying Complex Numbers
This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.
Probability Quiz
Some questions on probability
Graphs and Functions
This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.