All of the functions that achieve defined

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If you allowed they helped me

All of the functions that achieve defined

if f A defined function in R X R




f(x) + f ( y2 ) = f ( x2 +y)
 
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Is your question to find all functions f:\mathbb{R}\to\mathbb{R} such that f(x)+f(y^2)=f(x^2+y)\quad\forall x,y \in \mathbb{R}?

If you want us to help you, show some effort. What have you tried so far?
 
Last edited:
Pere Callahan said:
Is your question to find all functions f:\mathbb{R}\times \mathbb{R}\to\mathbb{R} such that f(x)+f(y^2)=f(x^2+y)\quad\forall x,y \in \mathbb{R}?

If you want us to help you, show some effort. What have you tried so far?

Yes O my friend what I want
And I thank you for your cooperation with me
 
Is the function defined on R or on RxR...?

Take some special values for x and y, like x=0, or y=0 or x=y and see where it takes you.
 
Pere Callahan said:
Is the function defined on R or on RxR...?

Take some special values for x and y, like x=0, or y=0 or x=y and see where it takes you.

With the use of the drawing programs they came to y =x
But the wanted is the solution compulsorily
I believe by Al Mtslslat
The question I do not know how I deal with it a new for me .
 
Sorry, I do not understand what you are saying. I suggest you try and find someone to help you who speaks your language.
 
Pere Callahan said:
Sorry, I do not understand what you are saying. I suggest you try and find someone to help you who speaks your language.

I mean the solution by the Khawarizmi way

And thank you to your aid
 
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