Question

Given g(x)= root x-4 and h(x) = 2x-8 what is g(h(10))

Answer 1

Answer:2^*2

Explanation:

Answer 2

The value of g(h(10)) is
`2 √(2)`

Explanation:

Given that,

`g(x)=√((x-4))` and h(x) = 2x-8

To find g(h(10)) first find h(10) that implies

h(x) = 2x-8

`h(10)=(2 * 10)-8`

h(10) = 20 - 8

h(10) = 12

Now, g(h(10)) = g(12)

`g(x)=√((x-4))`

`g(12)=√((12-4))`

`g(12)=√(8)`

`√(8)` Can be written as
`=\sqrt{2 * 2^(2)}`

`g(12)=√(2) * \sqrt{2^(2)}`

`g(12)=2 √(2)`

`\therefore`
`g(h(10))=2 √(2)`

Therefore
`g(h(10))=2 √(2)` for the Given g(x) = root x-4 and h(x) = 2x-8.