for the function f(x) = x-2/x-3, what is the domain?

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You cannot divide anything by zero, because it will be undefined.  Thus, in this case, the function will only be undefined when its denominator is equal to zero.  If we set the denominator equal to zero, we get x - 3 = 0 and can see that when x = 3, the function will be undefined.  Therefore, the domain of our function is defined for all values of x except 0.  We can express this as:D: all nonzero real numbersD: {x | x ≠ 0}D: {x | x < 0 or x > 0}