Question

What is the domain of the function of sqrt 5-x

Answer 1

For the function
`y=√(x)` the domain is
`x\ge 0.`

Consider function
`y=√(5-x).`

The expression under the root should be greater or equal to zero:

`5-x\ge 0,\\-x\ge -5,\\x\le 5.`

Answer: the domain of the function
`y=√(5-x)` is
`x\le 5.`