Question

Please help what is domain of f?

Answer 1

In domain: -2.

Not in domain: 2, 4.

Explanation:

The domain of a square root function is all real numbers such that the expression under the square root is greater than or equal to 0.

So, set the expression under the square root greater than or equal to 0 and solve for x:

`-2x\geq 0\\`

Divide both sides by -2. When dividing by a negative, we flip the sign:

`x\leq 0`

So, the domain of the function is all real numbers such that x is greater than of less than 0.

-2 is less than 0. So, it is in the domain.

2 is not less than 0. So, it is not in the domain.

4 is not less than 0. So, it is also not in the domain.