find the domain and range of g(x,y)= (4-x^2-9y^2)^1/2
You asked:
Find the domain and range of \(g(x)=\frac{\left(- x^{2} - 9 y^{2} + 4\right)^{1}}{2}\).
MathBot Answer:
Domain
\[\mathbb{R}^{2}\]
Range
Set notation:
\(\displaystyle\left\{g \in \mathbb{R}:g \leq 2 - \frac{9 y^{2}}{2}\right\}\)
Interval notation:
\(\displaystyle\left(-\infty, 2 - \frac{9 y^{2}}{2}\right]\)