Question

If f ( x ) = x^4 + 4 , g ( x ) = x − 6 , h ( x ) = √ x , then f ∘ g ∘ h ( x ) =

Answer 1

`f(g(h(x))) = (√(x) -6)^4 +4`

Explanation:

Given:

`f(x) = x^4 +4`

`g(x) = x -6`

`h(x) = √(x)`

Solution:

`f°g°h(x) = f(g(h(x)))`

We can solve for
`g(h(x))` to make it less complicated.

`g(h(x)) = h(x) -6 \\ g(h(x)) = √(x) -6`

Now we can solve for
`f(g(h(x)))`.

`f(g(h(x))) = g(h(x))^4 +4 \\ f(g(h(x))) = (√(x) -6)^4 +4`