Answer:
The correct option is 3) x and y are independent variables, z is a dependent variable.
Step-by-step explanation:
Consider the provided function.
![z=f(x,y)=6-2x+(x^2y)-\frac{3y^2}{4-x}](https://tex.z-dn.net/?f=z%3Df%28x%2Cy%29%3D6-2x%2B%28x%5E2y%29-%5Cfrac%7B3y%5E2%7D%7B4-x%7D)
Dependent variables depend on the values of independent variables.
Here z is the function of x and y are the variables.
The value or variable z depends on x and y.
Therefore z is dependent variable.
Also x and y are independent variables,
Hence, the correct option is 3) x and y are independent variables, z is a dependent variable.