CAT Quantitative Ability Questions | CAT Functions questions

CAT/1999

Question . 55

If x & y are real numbers, the functions are defined as f (x, y) = | x + y |,F (x, y) = –f (x, y) and G (x, y) = –F (x, y) . Now with the help of this information answer the following questions.

Which of the following will be necessarily true?