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Answer the following question based on the information given below.
For real numbers x, y, let
f(x, y) = Positive square-root of (x + y), if (x + y)$^{0.5}$ is real
= (x + y)$^2$, otherwise
g(x, y) = (x + y)$^2$, if (x + y)$^{0.5}$ is real
= –(x + y), otherwise

Under which of the following conditions is f(x, y) necessarily greater than g(x, y)?

1. Both x and y are less than –1
2. Both x and y are positive
3. Both x and y are negative
4. y > x
0
I think all 4 options are not sufficient for answer

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