- #1

- 91

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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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- #1

- 91

- 0

All of the functions that achieve defined

if f A defined function in R X R

f(x) + f ( y2 ) = f ( x2 +y)

- #2

- 91

- 0

No Answer

- #3

- 586

- 1

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

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

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

Last edited:

- #4

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Yes O my friend what I wantIs your question to find all functions [itex]f:\mathbb{R}\times \mathbb{R}\to\mathbb{R}[/itex] such that [itex]f(x)+f(y^2)=f(x^2+y)\quad\forall x,y \in \mathbb{R}[/itex]?

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

And I thank you for your cooperation with me

- #5

- 586

- 1

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

- #6

- 91

- 0

With the use of the drawing programs they came to y =x

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

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 .

- #7

- 586

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- #8

- 91

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I mean the solution by the Khawarizmi way

And thank you to your aid

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