find and sketch the domain of f(x,y) = sqrt(1+ln(xy))

it will be:

y>1/(ex)

graph of y=1/ex is approximately the same as y=1/x

where should i shade it ??

it have curve in quadratic 1 and curve in quadratic 3

i will shade it inside both curves or just the curve in the quadratic 1??

i think,

since y>1/ex

---> xy>1/e

product is positive

so I will shade the curve in quadratic 3

right??!