Answer:
[tex]\boxed{\bf x \geqslant 6}[/tex]
Step-by-step explanation:
Given:- g(x)=√(x - 4) and h(x) = 2x - 8
Find:- What're the restrictions on the domain of g•h.
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- [tex]\bf g.h = \sqrt{(2x - 8) - 4} [/tex]
- [tex]\bf g.h = \sqrt{2x - 12} [/tex]
- [tex]\bf 2x - 12 \geqslant 0[/tex]
- [tex]\bf 2x \geqslant 12[/tex]
- [tex]\bf \cfrac{2x}{2} = \cfrac{12}{2} [/tex]
- [tex]\bf x \geqslant 6[/tex]
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