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## Homework Statement

Let f(x,y,z)=e^sqrt(z-5x^2-5y^2), find the domain and range of this function

## Homework Equations

## The Attempt at a Solution

ok i know how to get the domain of the function:

you can't take the sqrt of a negative number you set up the inequality

z-5x^2-5y^2>= 0 and solve for z and you find that z>=5x^2+5y^2

my question is about the range I am not sure how to find it. is it like in 2d all possible numbers in the y, but in 3d its all numbers in z??

thank you