For which pairs of numbers (x.y) is the function given below defined?

(x2+y2)12+(x2+y21)12

1 Answer
Mar 4, 2018

for x2+y21

Explanation:

since we cannot take a square root of a negative number or raise it to a half power (unless using complex mathematics),
(x2+y21) should be positive and if it is, (x2+y2 )will be positive too

therefore, this function will be defined for all x2+y21