is-there-a-function-f-R-2-R-such-that-f-x-f-x-y-f-f-x-y-y-f-x-y-

Question Number 2514 by 123456 last updated on 21/Nov/15

is there a function

f : R^{2} \to R

such that

f [x, f (x, y)] = f [f (x, y), y] = f (x, y)

?

Answered by prakash jain last updated on 21/Nov/15

f (x, y) = C meets all conditions . So function exists .

Commented by prakash jain last updated on 21/Nov/15

C constant