Question

I have a question about this please see attachment

Answer 1

`\boxed{\bf x \geqslant 6}`

Explanation:

Given:- g(x)=√(x - 4) and h(x) = 2x - 8

Find:- What're the restrictions on the domain of g•h.

______________________________

• 
  `\bf g.h = √((2x - 8) - 4)`
• 
  `\bf g.h = √(2x - 12)`
• 
  `\bf 2x - 12 \geqslant 0`
• 
  `\bf 2x \geqslant 12`
• 
  `\bf \cfrac{2x}{2} = \cfrac{12}{2}`
• 
  `\bf x \geqslant 6`

«••••••••••••••«»•••••••••••••»