Question

This one too. It's a good question-I'd like to present.

Answer 1

define the domain of function is the set of integers where \[f(1)=2 \]
and satisfied with
\[f(x−y^2)=f(x)+(y^2−2x)f(y)\]
at every Integer x and y
find \[f(100)\]

a.100 b.10,000 c.200 d.20,000

P.S.I made choices up ;P
**This is re-post

Answer 2

The relation can be obtained by finding the first few terms, and it's given by:
\[f(n)=n^2f(1).\]

Answer 3

It can be proved by induction.

Answer 4

cool!

Answer 5

So, \(f(100)=100^2(2)=20,000\).

Answer 6

yes thxx

Answer 7

Thank you for the nice problem.

Answer 8

no problem :)