Asked by ally

Let f(x,y)=(x-1)/(2x+y).
Find the domain of f.

Answers

Answered by oobleck
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
Answered by ally
How did you come to that solution? Could you provide a step by step?
Answered by oobleck
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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