Final answer:
To find the value of g(h(10)), first compute h(10), which is 12, and then apply it to function g to get g(12), resulting in 2√2.
Step-by-step explanation:
The question involves composition of functions, where we need to evaluate g(h(10)). First, we substitute 10 into function h(x) to get h(10), which is 2(10) - 8. The result of this is 2 * 10 - 8 = 20 - 8 = 12. Then we substitute this result into function g(x):
- g(12) = √(12 - 4)
- g(12) = √(8)
- g(12) = 2√2
Therefore, g(h(10)) equals 2√2.