Answered

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

Sagot :

Happil

Answer:

[tex]f(g(h(x))) = (\sqrt{x} -6)^4 +4[/tex]

Step-by-step explanation:

Given:

[tex]f(x) = x^4 +4[/tex]

[tex]g(x) = x -6[/tex]

[tex]h(x) = \sqrt{x}[/tex]

Solution:

[tex]f°g°h(x) = f(g(h(x)))[/tex]

We can solve for [tex]g(h(x))[/tex] to make it less complicated.

[tex]g(h(x)) = h(x) -6 \\ g(h(x)) = \sqrt{x} -6[/tex]

Now we can solve for [tex]f(g(h(x)))[/tex].

[tex]f(g(h(x))) = g(h(x))^4 +4 \\ f(g(h(x))) = (\sqrt{x} -6)^4 +4[/tex]

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