Let f(x,y)=(x-1)/(2x+y).

Find the domain of f.

3 answers

as with all rational functions, the domain is all reals, except where the denominator is zero.
So, you just need to exclude all values in R^2 along the line
2x+y = 0
How did you come to that solution? Could you provide a step by step?
come on. This is just algebra 2.
Division by zero is undefined. So, any values you want can be used to evaluate f(x,y), but you cannot have a denominator of zero.
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