## Calculus 8th Edition

${(x,y)∈R^{2}|y\gt -x-1}$
Given: $f(x,y)=ln(x+y+1)$ Since we can only take the logarithmic of positive quantities, we want $x+y+1\gt0$ This implies $y\gt -x-1$ Therefore, the domain for given function is ${(x,y)∈R^{2}|y\gt -x-1}$ Sketch the graph for the domain as shown below: