Question

I need help thank you

Answer 1

`x \ge 5` and
`x \\e -7`

Explanation:

Given

`f(x) = (√(x - 5))/(x + 7)`

Required

The domain

Set the denominator to not equal to 0

`x + 7 \\e 0`

`x \\e -7`

Also, the expression in roots must be 0 or positive i.e

`x - 5 \ge 0`

`x \ge 0+5`

`x \ge 5`

Hence, the domain is defined for:

`x \ge 5` and
`x \\e -7`