Question

Give the domain for f(x,y) = ln(1-x^2 - y^2)

How do you get this?

Answer 1

i think the domain is real

Answer 2

yeah i know the answer is -1<=x<1 and -1<=y<1 atleast i think, But I am unsure how to get to that

Answer 3

edit: yes thats the correct answer just checked with wolfram but still have no idea

Answer 4

would you say 1-x^2 - y^2 >0 then try to solve i would suppose

Answer 5

if you do that you in the end you got circle domain

Answer 6

which would be the correct domain

Answer 7

i think u have to convert it to e, coz e is a constanta, it's easier to prove

Answer 8

okay I got it, Just had to play around with the inequality and the x and y but It came out correct. Thanks for the help!