Answer:
[tex] 2\sqrt{2} [/tex]
Step-by-step explanation:
[tex] g(x) = \sqrt{x - 4} [/tex]
[tex] h(x) = 2x - 8 [/tex]
[tex] h(10) = 2(10) - 8 = 12 [/tex]
[tex] g(h(10)) = g(12) = \sqrt{12 - 4} [/tex]
[tex] g(h(10)) = \sqrt{8} = 2\sqrt{2} [/tex]
Answer: [tex] 2\sqrt{2} [/tex]