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F(a)= a² + 5 + 2a g(a) = 2a +4 Find (fºg)(a)

User Roledenez
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1 Answer

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\begin{gathered} f(a)=a^2+5+2a \\ g(a)=2a+4 \end{gathered}

we must replace g (a) in f (a), so a = g (a)


\begin{gathered} \mleft(fºg\mright)\mleft(a\mright)=(g(a))^2+5+2(g(a)) \\ (fºg)(a)=(2a+4)^2+5+2(2a+4) \\ (fºg)(a)=4a^2+16a+16+5+4a+8 \\ (fºg)(a)=4a^2+20a+29 \end{gathered}

User Snishalaka
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