Answered

Get the information you need with the help of IDNLearn.com's expert community. Join our interactive community and get comprehensive, reliable answers to all your questions.

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

Sagot :

Happilidn

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]

Thank you for contributing to our discussion. Don't forget to check back for new answers. Keep asking, answering, and sharing useful information. IDNLearn.com has the solutions to your questions. Thanks for stopping by, and come back for more insightful information.