Which expression represents the composition [f o g o h](x) for the functions below? f(x) = –2x4 g(x) = 4x – 6 h(x) = x – 1

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cdw2014 cdw2014 · Answer 1 · 2018-01-26T19:24:37+01:00

Brainly won't let me post the answer. I'll post it as a comment to this answer.

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tardymanchester tardymanchester · Answer 2 · 2019-03-12T10:59:53+01:00

Answer:

The expression which represents this composition is

[tex][f o g o h](x) =-2(4x-10)^4[/tex]

Step-by-step explanation:

Given : [tex]f(x)=-2x^4[/tex] , [tex]g(x)=4x-6[/tex] and [tex]h(x)=x-1[/tex]

To find : The expression represents the composition [f o g o h](x)

Solution :

The composition is [tex][f o g o h](x) = f(g(h(x)))[/tex]

So, first plug h into g.

i.e, [tex]=f(g(x-1))[/tex]

[tex]=f(4(x-1)-6)[/tex]

[tex]=f(4x-4-6)[/tex]

[tex]=f(4x-10)[/tex]

Next, plug in the new function into f.

[tex]=-2(4x-10)^4[/tex]

The expression which represents this composition is

[tex][f o g o h](x) =-2(4x-10)^4[/tex]