Question

Which statement is true about the function f(x) = StartRoot negative x EndRoot? It has the same domain as the function f(x) = Negative StartRoot negative x EndRoot. It has the same range as the function f(x) = Negative StartRoot negative x EndRoot. It has the same domain as the function f(x) = Negative StartRoot x EndRoot. It has the same range as the function f(x) = .

Answer 1

Answer:

  It has the same domain as the function $f(x)=-\sqrt{-x}$.

Step-by-step explanation:

The function ...

  $f(x)=\sqrt{-x}$

has a domain of all non-positive numbers and a range of all non-negative numbers. Anything with a -x under the radical will have the same domain. Any positive root will have the same range.

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So, we can say it has the same domain as ...

  $f(x)=-\sqrt{-x}$