Answer:It has the same domain as the function [tex]f(x)=-\sqrt{-x}[/tex]Step-by-step explanation:we have[tex]f(x)=\sqrt{-x}[/tex]we know thatThe radicand cannot be a negative numberso[tex]-x\geq 0[/tex]Solve for xMultiply by -1 both sides[tex]x\leq 0[/tex]The domain of the given function is the interval ----> (-∞,0]All real numbers less than or equal to 0The range of the given function is the interval ----> [0,∞)All real numbers greater than or equal to zeroVerify each statementPart 1) It has the same domain as the function [tex]f(x)=-\sqrt{-x}[/tex]The statement is trueThe domain of the function [tex]f(x)=-\sqrt{-x}[/tex] isthe interval ---> (-∞,0]Part 2) It has the same range as the function [tex]f(x)=-\sqrt{-x}[/tex]The statement is falseThe range of the function [tex]f(x)=-\sqrt{-x}[/tex] is the interval ---> (-∞,0]Part 3) It has the same domain as the function [tex]f(x)=-\sqrt{x}[/tex]The statement is falseThe domain of the function [tex]f(x)=-\sqrt{x}[/tex] isthe interval ---> [0,∞)Part 4) It has the same range as the function [tex]f(x)=-\sqrt{x}[/tex]The statement is falseThe range of the function [tex]f(x)=-\sqrt{x}[/tex] isthe interval ---> (-∞,0]