What is the domain and range of $y = -(sqrt(-x))$ ?

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Answer 1 · 2017-08-07T06:05:53

The domain and range both in interval notation are $(-oo,0]$ i.e. domain is given by $x<=0$ and range is givren by $y<=0$ .

As $y=-sqrt(-x)$ , it is apparent that you cannot have square root of a negative number.

Hence $-x>=0$ or in other words $x<=0$ - which is the domain of $x$ and in interval notation it is $(-oo,0]$ .

Now given $x<=0$ , the range of values that $y$ can have is $(-oo,0]$ and hence range is $y<=0$

What is the domain and range of y = -(sqrt(-x))y = -(sqrt(-x))?