SOLUTION: How do you find the domain of the function -> f(x) = sqrt(-1/x) ?

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Question 923866: How do you find the domain of the function -> f(x) = sqrt(-1/x) ?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

f%28x%29+=+sqrt%28-1%2Fx%29+
since in %28-1%2Fx%29, denominator is x and we know denominator cannot be equal to 0; so, x%3C%3E0
if we take x%3E0, then %28-1%2Fx%29 will be negative number, and square root of negative number gives us complex root; so, we will exclude this option
if we take x%3C0, then %28-1%2Fx%29 will be positive number, and square root of positive number gives us real root; so, we will go with this option

domain:
{ x element R : x%3C0 } (all negative real numbers)
(assuming a function from reals to reals)