___kshro10
New member
- Joined
- Sep 2, 2021
- Messages
- 2
The problem is
Find all functions f:R(all real numbers) —> R such that
f(f(x)) + xf(x) = 1
My initial thought was plugging in values such as x=0, x=1, and see if there was any pattern or if it lead me to any equations that I could solve.
The answer is that there are no such functions, but I just can’t wrap my head around how to explain it.
I am just completely stuck on this problem, and I was wondering if anyone can give me advice on how to get started, or explain why there are no solutions.
Thank you in advance.
(If this post is in a different category, please let me know, I will take it down and post it under the right one.)
Find all functions f:R(all real numbers) —> R such that
f(f(x)) + xf(x) = 1
My initial thought was plugging in values such as x=0, x=1, and see if there was any pattern or if it lead me to any equations that I could solve.
The answer is that there are no such functions, but I just can’t wrap my head around how to explain it.
I am just completely stuck on this problem, and I was wondering if anyone can give me advice on how to get started, or explain why there are no solutions.
Thank you in advance.
(If this post is in a different category, please let me know, I will take it down and post it under the right one.)