Question

Please help me describe the domain of f in words...(click to see)

Answer 1

\[f(x,y)=xe ^{-\sqrt{y+2}}\]

Answer 2

every single number except the numbers that will make the square root negative

Answer 3

oh i see, it is essentially asking when the function is undefined

Answer 4

undefined when the square root is negative :)

Answer 5

u got that?

Answer 6

Because we have a sequare root we can say that the function is defined at (x,y) iff :
\[y+2\geq0\]
And this equivalent to :
\[y\geq -2\]
So :
\[D=\{(x,y)\in\mathbb R^2~/~ y\geq2\}\]

Answer 7

all values of x and all values of y great than or equal to -2

Answer 8

I have done a mistype :
\[D=\{(x,y)\in\mathbb R^2~/~ y\geq-2\}\]