Question

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

Answer 1

Answer:

$f(g(h(x))) = (\sqrt{x} -6)^4 +4$

Step-by-step explanation:

Given:

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

$g(x) = x -6$

$h(x) = \sqrt{x}$

Solution:

$f°g°h(x) = f(g(h(x)))$

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

$g(h(x)) = h(x) -6 \\ g(h(x)) = \sqrt{x} -6$

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

$f(g(h(x))) = g(h(x))^4 +4 \\ f(g(h(x))) = (\sqrt{x} -6)^4 +4$