Determine if the equation specifies a function with independent variable x.

Question

Determine if the equation specifies a function with independent variable x.  If so, find the domain.  If not find a value of x to which there corresponds more than one value of y.  xy + 3y = -6

Answer 1

y= -6/(x+3)

 

Yes, the equation specifies a function with independent variable x

 

Domain -  all real values except x = -3

 

Since y is a function of x ,there is only one value of y for a value of x.

 

It passes the vertical line test.