# Functions

How to solve these type of questions: Find all functions such that f(x + yf(x)) = f(y) + xf(x) ... and all that ?

Note by Priyanshu Mishra
3 years, 4 months ago

MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bold
- bulleted- list
• bulleted
• list
1. numbered2. list
1. numbered
2. list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1paragraph 2

paragraph 1

paragraph 2

[example link](https://brilliant.org)example link
> This is a quote
This is a quote
    # I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
# I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
MathAppears as
Remember to wrap math in $$...$$ or $...$ to ensure proper formatting.
2 \times 3 $$2 \times 3$$
2^{34} $$2^{34}$$
a_{i-1} $$a_{i-1}$$
\frac{2}{3} $$\frac{2}{3}$$
\sqrt{2} $$\sqrt{2}$$
\sum_{i=1}^3 $$\sum_{i=1}^3$$
\sin \theta $$\sin \theta$$
\boxed{123} $$\boxed{123}$$

Sort by:

Can you give some initial values like $$f(0)=0$$ or something like that ?Else you won't be able to solve this question

- 3 years, 4 months ago

yes. Please Help me to solve this problem: Find all polynomials p(x) such that: p(x^2 + 1) =(p(x))^2 + 1 and p(0) = 0.

- 3 years, 3 months ago