Section 14.1: Functions of Several Variables

Definition

The domain of a function f is the collection of the points on which this function can be evaluated.

Example Question

Find and sketch the domain of \[f(x,y) = \frac{\sqrt{x+y+1}}{x-1}\].

Example Question

Find and sketch the domain of \(f(x, y) = x \ln(y^2 - x)\).

Example Question

Find and sketch the domain of \(g(x, y) = \sqrt{ 9 - x^2 - y^2}\).