Question

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

a.The domain of the function is all negative real numbers.
b.The range of the function is all positive real numbers.
c.The domain and range of the function have opposite signs.
d.The domain and range of the function are the same.

Answer 1

hi thereee, the answer to this question is

d. the domain and range of the function are the same

hope this helps :)

have a good day!

Explanation:

i just took the test

Answer 2

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.