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)
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?
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.