if f(x) + g(y) = xy then
so the only possible candidate for f(x) is .
You can similarly reason for f(y) and hence end up with the (incorrect) equality , which you can easily show is false with a counter example.
You try part (b).
if f(x) + g(y) = xy then
so the only possible candidate for f(x) is .
You can similarly reason for f(y) and hence end up with the (incorrect) equality , which you can easily show is false with a counter example.
You try part (b).