Purchase Solution

Find all differentiable functions.

Not what you're looking for?

Find all differentiable functions f : R ---> R such that (f composed f) = f.

R = All Real Numbers

(f composed f) = the function f composed with itself

Solution Summary

The differentiability of a given function is examined. Differentiable functions are found.

Solution Preview

because,
f composed f = fof = f(f(x)
according to the question,
f(f(x)) = f(x)
What does this mean? => It implies that whatever is the value of function f at x, the same value ...

Solution provided by:
Education
• MSc , Pune University, India
• PhD (IP), Pune University, India
Recent Feedback
• " In question 2, you incorrectly add in the \$3.00 dividend that was just paid to determine the value of the stock price using the dividend discount model. In question 4 response, it should have also been recognized that dividend discount models are not useful if any of the parameters used in the model are inaccurate. "
• "feedback: fail to recognize the operating cash flow will not begin until the end of year 3."
• "Great thanks"
• "Perfect solution..thank you"

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.

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

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.