AudraG94932 AudraG94932
  • 25-10-2022
  • Mathematics
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Express your answer as a polynomial in standard form.f(x) = x^2 + 6x +7g(x) = x + 2Find: g(f(x)

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KelsiN420927 KelsiN420927
  • 25-10-2022
[tex]y=x^2+6x+9[/tex]

1) Firstly, let's find the composite function g(f(x)) plugging into the x variable in g(x) the function f(x):

[tex]\begin{gathered} g(f(x))=(x^2+6x+7)+2 \\ g(f(x))=x^{2}+6x+9 \end{gathered}[/tex]

2) To write that as the standard form, let's replace g(f(x)) with "y" and write the polynomial orderly to the greatest coefficient to the least one.

[tex]y=x^2+6x+9[/tex]

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