The relation of S and R is not always equal to the relation of R and S

The relation of S and R is not always equal to the relation of R and S

example:

Let R be a set that is equal to y = x + 1
Let S be a set that is equal to y = x^2

Thus the relation of R to S is equal to z=x^2 and y=z+1 so y = x^2 + 1

And the relation of S to R is equal to z= x + 1 and y = z^2 thus y=(x+1)^2

so the relation of R to s is not equal to the relation of S to R