Question

F(x,y)=square root of y+3xDetermine the domain of the function of two variables f(x,y)=

Answer 1

`F(x,y)=√(y+3x)`

We want to determine the domain of the function of two variables, The function is defined for those values of x,y for which the square root is defined;

`\begin{gathered} y+3x\ge0 \\ y\ge-3x \end{gathered}`

Thus, the domain of the function is ;

`\lbrace(x,y):y+3x\ge0\rbrace`