The discussion revolves around finding the composition of the function f with itself, denoted as f°f, where the function is defined as f(x) = x/(x+1). Participants are exploring the discrepancies between their results and a provided answer from a textbook.
Some participants have provided clarifications and asked for more detailed explanations of the methods used. One participant has acknowledged a misunderstanding in their approach to dividing fractions, leading to a realization of how to arrive at the textbook answer. The discussion is ongoing, with multiple interpretations and methods being explored.
There is a noted confusion regarding variable notation and the method of handling complex fractions, which may have contributed to the initial incorrect results. Participants are encouraged to clarify their understanding of these concepts.
You mean f(x) = x/(x+1), right? Because what you wrote simplifies to f(x)=2 for x≠0.najatau said:Homework Statement
Find f°f
Homework Equations
f(x)=x/x+1
Are X and x supposed to be the same variable? If not, what's X? If they're supposed to be the same, use the same letter.The Attempt at a Solution
\frac{x}{X+1}divided by\frac{x}{x+1}
I got \frac{1}{x+1}+1 but I know the answer in the book is \frac{x}{2x+1}. I'm not sure how the book arrived at that answer.