Question

Which statement is true about the function f(x)=-√-x

Answer 1

Answer: D.The domain and range of the function are the same.

Step-by-step explanation: Given function f(x)=-√-x.

The given function is a square root function and we have minus sign in front of x inside square root.

A square root always defined for positive values or 0.

In order to get a positive number or 0 inside square root, let us solve the inequality:

$-x\geq 0$

On dividing both sides by -1, the inequality sign would get flip and we get

Domain: $x \leq 0.$

We can see that we have a negative sign in front of square root. So, the value of f(x) would be always a negative number or 0.

Therefore, range would also be :$x \leq 0.$.

Therefore, correct option is D option.