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Express the function in the form f ∘ g. (use non-identity functions for f and g.) f(x) = 3 x 7 + 3 x

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The composed function is
3x^7+3x. We are going to express this function as
(f\circ g)(x),

where neither of the functions are identity functions, that is f(x)≠x, and g(x)≠x.


Let
g(x)=3x, and let
\displaystyle{f(x)= ((1)/(3^6))x^7+x


then


f(g(x))=\displaystyle{ ((1)/(3^6))(g(x))^7+g(x)=\displaystyle{ ((1)/(3^6))(3x)^7+3x


=\displaystyle{ ((1)/(3^6))\cdot3^7x^7+3x=3x^7+3x



Answer:
g(x)=3x,
\displaystyle{f(x)= ((1)/(3^6))x^7+x
User Daniel ORTIZ
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