Question

Given: g(x) = Square Root of x - 4 and h(x) = 2x - 8. What are the restrictions on the domain of gxh? x is greater than or equal to what?

Answer 1

`g(x) = √(x - 4)`

`h(x) = 2x - 8`

g x h =
`√(x-4).(2x-8)`

Looking at the equation we know that there's no way to have a negative root, so we need x - 4 to be greater than or equal to 0

`x - 4 \geq 0`

`x \geq 4`

Answer 2

It's 6

Explanation: